Anexo:Constantes matemáticas

Lo siguiente es un anexo sobre las constantes matemáticas.

Índice

Constantes y funciones matemáticas[editar]

La estructura de la tabla es la siguiente:

Valor numérico de la constante y enlace a MathWorld o a OEIS Wiki.
LaTeX: Fórmula o serie en el formato TeX.
Fórmula: Para utilizar en Wolfram Alpha. Si en los cálculos, ∞ demora mucho tiempo, puede cambiarse por 20000, para obtener un resultado aproximado.
OEIS: On-Line Encyclopedia of Integer Sequences.
Fracción continua: En el formato simple [Parte entera; frac1, frac2, frac3, ...] , suprarrayada si es periódica.
Año: Del descubrimiento de la constante, o datos del autor.
Formato web: Valor de la constante, en formato adecuado para los buscadores web.
N.º: Tipo de Número
- R - Racional
- I - Irracional
- A - Algebraico
- T - Trascendental
- C - Complejo

(La tabla se puede ordenar ascendente o descendente, por cualquiera de los campos, sin más que pulsar en los títulos del encabezado).

Constantes y funciones matemáticas
Valor	Nombre	Gráfico	Símbolo	LaTeX	Fórmula	N.º	OEIS	Fracción continua	Año	Formato web
0,74048 04896 93061 04116 ^{Mw 1}	Constante de Hermite Empaquetamiento óptimo de esferas 3D Conjetura de Kepler ¹		${\mu _{_{K}}}$	${\frac {\pi }{3{\sqrt {2}}}}{\color {white}....\color {black}}$ Después de 400 años, Thomas Hales demostró en 2014 con El Proyecto Flyspeck, que la Conjetura de Kepler era cierta. ²	pi/(3 sqrt(2))		A093825	[0;1,2,1,5,1,4,2,2,1,1,2,2,2,6,1,1,1,5,2,1,1,1, ...]	1611	0.74048048969306104116931349834344894
1,60669 51524 15291 76378 ^{Mw 2}	Constante de Erdős–Borwein³ ⁴		${E}_{\,B}$	$\sum _{m=1}^{\infty }\sum _{n=1}^{\infty }{\frac {1}{2^{mn}}}=\sum _{n=1}^{\infty }{\frac {1}{2^{n}-1}}={\frac {1}{1}}\!+\!{\frac {1}{3}}\!+\!{\frac {1}{7}}\!+\!{\frac {1}{15}}\!+\!...$	sum[n=1 to ∞] {1/(2^n-1)}	I	A065442	[1;1,1,1,1,5,2,1,2,29,4,1,2,2,2,2,6,1,7,1,6,1,2,...]	1949	1.60669515241529176378330152319092458
0,07077 60393 11528 80353 -0,68400 03894 37932 129 i ^{Ow 1}	Constante MKB ⁵ · ⁶ · ⁷		$M_{I}$	$\lim _{n\rightarrow \infty }\int _{1}^{2n}(-1)^{x}~{\sqrt[{x}]{x}}~dx=\int _{1}^{2n}e^{i\pi x}~x^{1/x}~dx$	lim_(2n->∞) int[1 to 2n] {exp(iPix)*x^(1/x) dx}	C	A255727 A255728	[0;14,7,1,2,1,23,2,1,8,16,1,1,3,1,26,1,6,1,1, ...] - [0;1,2,6,13,41,112,1,25,1,1,1,1,3,13,2,1, ...] i	2009	0.07077603931152880353952802183028200 -0.68400038943793212918274445999266 i
3,05940 74053 42576 14453 ^{Mw 3}^{Ow 2}	Constante Doble factorial		${C_{_{n!!}}}$	$\sum _{n=0}^{\infty }{\frac {1}{n!!}}={\sqrt {e}}\left[{\frac {1}{\sqrt {2}}}+\gamma ({\tfrac {1}{2}},{\tfrac {1}{2}})\right]$	Sum[n=0 to ∞]{1/n!!}		A143280	[3;16,1,4,1,66,10,1,1,1,1,2,5,1,2,1,1,1,1,1,2,...]		3.05940740534257614453947549923327861
0,62481 05338 43826 58687 + 1,30024 25902 20120 419 i	Fracción continua generalizada de i		${{F}_{CG}}_{(i)}$	$\textstyle i{+}{\frac {i}{i+{\frac {i}{i+{\frac {i}{i+{\frac {i}{i+{\frac {i}{i+{\frac {i}{i+i{/...}}}}}}}}}}}}}={\sqrt {\frac {{\sqrt {17}}-1}{8}}}+i\left({\tfrac {1}{2}}{+}{\sqrt {\frac {2}{{\sqrt {17}}-1}}}\right)$	i+i/(i+i/(i+i/(i+i/(i+i/(i+i/(i+i/( i+i/(i+i/(i+i/(i+i/(i+i/(i+i/(i+i/( i+i/(i+i/(i+i/(i+i/(i+i/(i+i/(i+i/( ...)))))))))))))))))))))	C A	A156590 A156548	[i;1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,..] = [0;1,i]		0.62481053384382658687960444744285144 + 1.30024259022012041915890982074952 i
0,91893 85332 04672 74178 ^{Mw 4}	Fórmula de Raabe ⁸		${\zeta '(0)}$	$\int \limits _{a}^{a+1}\log \Gamma (t)\,\mathrm {d} t={\tfrac {1}{2}}\log 2\pi +a\log a-a,\quad a\geq 0$	integral_a^(a+1) {log(Gamma(x))+a-a log(a)} dx		A075700	[0;1,11,2,1,36,1,1,3,3,5,3,1,18,2,1,1,2,2,1,1,...]		0.91893853320467274178032973640561763
0,42215 77331 15826 62702 ^{Mw 5}	Volumen del Tetraedro de Reuleaux ⁹		${V_{_{R}}}$	${\frac {s^{3}}{12}}(3{\sqrt {2}}-49\,\pi +162\,\arctan {\sqrt {2}})$	(3Sqrt[2] - 49Pi + 162*ArcTan[Sqrt[2]])/12		A102888	[0;2,2,1,2,2,7,4,4,287,1,6,1,2,1,8,5,1,1,1,1, ...]		0.42215773311582662702336591662385075
1,17628 08182 59917 50654 ^{Mw 6}	Constante de Salem, conjetura de Lehmer¹⁰		${\sigma _{_{10}}}$	$x^{10}+x^{9}-x^{7}-x^{6}-x^{5}-x^{4}-x^{3}+x+1$	x^10+x^9-x^7-x^6-x^5-x^4-x^3+x+1	A	A073011	[1;5,1,2,17,1,7,2,1,1,2,4,7,2,2,1,1,15,1,1, ...	1983?	1.17628081825991750654407033847403505
2,39996 32297 28653 32223 ^{Mw 7} Radianes	Ángulo áureo ¹¹		${b}$	$(4-2\,\Phi )\,\pi =(3-{\sqrt {5}})\,\pi$ = 137.507764050037854646 ...°	(4-2Phi)Pi	T	A131988	[2;2,1,1,1087,4,4,120,2,1,1,2,1,1,7,7,2,11,...]	1907	2.39996322972865332223155550663361385
1,26408 47353 05301 11307 ^{Mw 8}	Constante de Vardi ¹²		${V_{c}}$	${\frac {\sqrt {3}}{\sqrt {2}}}\prod _{n\geq 1}\left(1+{1 \over (2e_{n}-1)^{2}}\right)^{\!1/2^{n+1}}$			A076393	[1;3,1,3,1,2,5,54,7,1,2,1,2,3,15,1,2,1,1,2,1,...]	1991	1.26408473530530111307959958416466949
1,5065918849 ± 0,0000000028^{Mw 9}	Área del fractal de Mandelbrot ¹³		$\gamma$	Se conjetura que el valor exacto es: ${\sqrt {6\pi -1}}-e$ = 1,506591651...			A098403	[1;1,1,37,2,2,1,10,1,1,2,2,4,1,1,1,1,5,4,...]	1912	1.50659177 +/- 0.00000008
1,61111 49258 08376 736 111•••111 27224 36828 ^{Mw 10} ^{^{183213 unos}}	Constante Factorial exponencial		${S_{Ef}}$	$\sum _{n=1}^{\infty }{\frac {1}{n^{(n{-}1)^{\cdot ^{\cdot ^{\cdot ^{2^{1}}}}}}}}=1{+}{\frac {1}{2^{1}}}{+}{\frac {1}{3^{2^{1}}}}+{\frac {1}{4^{3^{2^{1}}}}}+{\frac {1}{5^{4^{3^{2^{1}}}}}}{+}\cdots$		T	A080219	[1; 1, 1, 1, 1, 2, 1, 808, 2, 1, 2, 1, 14,...]		1.61111492580837673611111111111111111
0,31813 15052 04764 13531 ±1,33723 57014 30689 40 i ^{Ow 3}	Punto fijo Super-logaritmo ¹⁴ ·¹⁵		${-W(-1)}$	$\lim _{n\rightarrow \infty }$ $f(x)=\underbrace {\log(\log(\log(\log(\cdots \log(\log(x))))))\,\!} \atop {\log _{s}{\text{ anidados n veces}}}$ Para un valor inicial de x distinto a 0, 1, e, e^e, e^(e^e), etc.	-W(-1) Donde W=ProductLog Lambert W function	C	A059526 A059527	[-i;1 +2i,1+i,6-i,1+2i,-7+3i,2i,2,1-2i,-1+i,-, ...]		0.31813150520476413531265425158766451 -1.33723570143068940890116214319371 i
1,09317 04591 95490 89396 ^{Mw 11}	Constante de Smarandache 1ª ¹⁶		${S_{1}}$	$\sum _{n=2}^{\infty }{\frac {1}{\mu (n)!}}{\color {white}....\color {black}}$ La función Kempner μ(n) se define como sigue: μ(n) es el número más pequeño por el que μ(n)! es divisible por n			A048799	[1;10,1,2,1,2,1,13,3,1,6,1,2,11,4,6,2,15,1,1,...]		1.09317045919549089396820137014520832
1,64218 84352 22121 13687 ^{Mw 12}	Constante de Lebesgue L2 ¹⁷		${L2}$	${\frac {1}{5}}+{\frac {\sqrt {25-2{\sqrt {5}}}}{\pi }}={\frac {1}{\pi }}\int _{0}^{\pi }{\frac {\left\|\sin({\frac {5t}{2}})\right\|}{\sin({\frac {t}{2}})}}\,dt$	1/5 + sqrt(25 - 2*sqrt(5))/Pi	T	A226655	[1;1,1,1,3,1,6,1,5,2,2,3,1,2,7,1,3,5,2,2,1,1,...]	1910	1.64218843522212113687362798892294034
0,82699 33431 32688 07426 ^{Mw 13}	Disk Covering ¹⁸		${C_{5}}$	${\frac {1}{\sum _{n=0}^{\infty }{\frac {1}{\binom {3n+2}{2}}}}}={\frac {3{\sqrt {3}}}{2\pi }}$	3 Sqrt[3]/(2 Pi)	T	A086089	[0;1,4,1,3,1,1,4,1,2,2,1,1,7,1,4,4,2,1,1,1,1,...]	1939 1949	0.82699334313268807426698974746945416
1,78723 16501 82965 93301 ^{Mw 14}	Constante de Komornik–Loreti ¹⁹		${q}$	$1=\!\sum _{n=1}^{\infty }{\frac {t_{k}}{q^{k}}}\qquad \scriptstyle {\text{Raiz real de}}\displaystyle \prod _{n=0}^{\infty }\!\left(\!1{-}{\frac {1}{q^{2^{n}}}}\!\right)\!{+}{\frac {q{-}2}{q{-}1}}=0$ t _k = Sucesión de Thue-Morse	FindRoot[(prod[n=0 to ∞] {1-1/(x^2^n)}+ (x-2)/(x-1))= 0, {x, 1.7}, WorkingPrecision->30]	T	A055060	[1;1,3,1,2,3,188,1,12,1,1,22,33,1,10,1,1,7,...]	1998	1.78723165018296593301327489033700839
0,59017 02995 08048 11302 ^{Mw 15}	Constante de Chebyshev ²⁰ · ²¹		${\lambda _{Ch}}$	${\frac {\Gamma ({\tfrac {1}{4}})^{2}}{4\pi ^{3/2}}}={\frac {4({\tfrac {1}{4}}!)^{2}}{\pi ^{3/2}}}$	(Gamma(1/4)^2) /(4 pi^(3/2))		A249205	[0;1,1,2,3,1,2,41,1,6,5,124,5,2,2,1,1,6,1,2,...]		0.59017029950804811302266897027924429
0,52382 25713 89864 40645 ^{Mw 16}	Función Chi Coseno hiperbólico integral		${\operatorname {Chi()} }$	$\gamma +\int _{0}^{x}{\frac {\cosh t-1}{t}}\,dt$ $\scriptstyle \gamma \,{\text{= Constante de Euler–Mascheroni = 0,5772156649...}}$	Chi(x)		A133746	[0;1,1,9,1,172,1,7,1,11,1,1,2,1,8,1,1,1,1,1,...]		0.52382257138986440645095829438325566
0,62432 99885 43550 87099 ^{Mw 17}	Constante de Golomb–Dickman²²		${\lambda }$	$\int \limits _{0}^{\infty }{\underset {Para\;x>2}{{\frac {f(x)}{x^{2}}}dx}}=\int \limits _{0}^{1}e^{Li(n)}dn\quad \scriptstyle {\text{Li = Integral logarítmica}}$	N[Int{n,0,1}[e^Li(n)],34]		A084945	[0;1,1,1,1,1,22,1,2,3,1,1,11,1,1,2,22,2,6,1,...]	1930 y 1964	0.62432998854355087099293638310083724
0,98770 03907 36053 46013 ^{Mw 18}	Área delimitada por la rotación excéntrica del Triángulo de Reuleaux²³		${\mathcal {T}}_{R}$	$a^{2}\cdot \left(2{\sqrt {3}}+{\frac {\pi }{6}}-3\right)$ donde a= lado del cuadrado	2 sqrt(3)+pi/6-3	T	A066666	[0;1,80,3,3,2,1,1,1,4,2,2,1,1,1,8,1,2,10,1,2,...]	1914	0.98770039073605346013199991355832854
0,70444 22009 99165 59273	Constante Carefree₂²⁴		${\mathcal {C}}_{2}$	${\underset {p_{n}:\,{primo}}{\prod _{n=1}^{\infty }\left(1-{\frac {1}{p_{n}(p_{n}+1)}}\right)}}$	N[prod[n=1 to ∞] {1 - 1/(prime(n)* (prime(n)+1))}]		A065463	[0;1,2,2,1,1,1,1,4,2,1,1,3,703,2,1,1,1,3,5,1,...]		0.70444220099916559273660335032663721
1,84775 90650 22573 51225 ^{Mw 19}	Constante camino auto-evitante en red hexagonal ²⁵ · ²⁶		${\mu }$	${\sqrt {2+{\sqrt {2}}}}\;=\lim _{n\rightarrow \infty }c_{n}^{1/n}$ La menor raíz real de $:\;x^{4}-4x^{2}+2=0$	sqrt(2+sqrt(2))	A	A179260	[1;1,5,1,1,3,6,1,3,3,10,10,1,1,1,5,2,3,1,1,3,...]		1.84775906502257351225636637879357657
0,19452 80494 65325 11361 ^{Mw 20}	2ª Constante Du Bois Reymond ²⁷		${C_{2}}$	${\frac {e^{2}-7}{2}}=\int _{0}^{\infty }\left\|{{\frac {d}{dt}}\left({\frac {\sin t}{t}}\right)^{n}}\right\|\,dt-1$	(e^2-7)/2	T	A062546	[0;5,7,9,11,13,15,17,19,21,23,25,27,29,31,...] = [0;2p+3], p∈ℕ		0.19452804946532511361521373028750390
2,59807 62113 53315 94029 ^{Mw 21}	Área de un hexágono de lado unitario ²⁸		${\mathcal {A}}_{6}$	${\frac {3{\sqrt {3}}}{2}}\,l^{2}$	3 sqrt(3)/2	A	A104956	[2;1,1,2,20,2,1,1,4,1,1,2,20,2,1,1,4,1,1,2,20,...] [2;1,1,2,20,2,1,1,4]		2.59807621135331594029116951225880855
1,78657 64593 65922 46345 ^{Mw 22}	Constante de Silverman ²⁹		${{\mathcal {S}}_{_{m}}}$	$\sum _{n=1}^{\infty }{\frac {1}{\phi (n)\sigma _{1}(n)}}={\underset {p_{n}:\,{primo}}{\prod _{n=1}^{\infty }\left(1+\sum _{k=1}^{\infty }{\frac {1}{p_{n}^{2k}-p_{n}^{k-1}}}\right)}}$ ø() = Función totien de Euler, σ₁() = Función divisor.	Sum[n=1 to ∞] {1/[EulerPhi(n) DivisorSigma(1,n)]}		A093827	[1;1,3,1,2,5,1,65,11,2,1,2,13,1,4,1,1,1,2,5,4,...]		1.78657645936592246345859047554131575
1,46099 84862 06318 35815 ^{Mw 23}	Constante cuatro-colores de Baxter ³⁰	Mapamundi Coloreado 4C	${\mathcal {C}}^{2}$	$\prod _{n=1}^{\infty }{\frac {(3n-1)^{2}}{(3n-2)(3n)}}={\frac {3}{4\pi ^{2}}}\,\Gamma \left({\frac {1}{3}}\right)^{3}$ Γ() = Función Gamma	3×Gamma(1/3) ^3/(4 pi^2)		A224273	[1;2,5,1,10,8,1,12,3,1,5,3,5,8,2,1,23,1,2,161,...]	1970	1.46099848620631835815887311784605969
0,66131 70494 69622 33528 ^{Mw 24}	Constante de Feller-Tornier ³¹		${{\mathcal {C}}_{_{FT}}}$	${\underset {p_{n}:\,{primo}}{{\frac {1}{2}}\prod _{n=1}^{\infty }\left(1-{\frac {2}{p_{n}^{2}}}\right){+}{\frac {1}{2}}}}={\frac {3}{\pi ^{2}}}\prod _{n=1}^{\infty }\left(1-{\frac {1}{p_{n}^{2}-1}}\right){+}{\frac {1}{2}}$	[prod[n=1 to ∞] {1-2/prime(n)^2}] /2 + 1/2	T ?	A065493	[0;1,1,1,20,9,1,2,5,1,2,3,2,3,38,8,1,16,2,2,...]	1932	0.66131704946962233528976584627411853
1,92756 19754 82925 30426 ^{Mw 25}	Constante Tetranacci		${\mathcal {T}}$	La mayor raíz real de $:\;\;x^{4}-x^{3}-x^{2}-x-1=0$	Root[x+x^-4-2=0]	A	A086088	[1;1,12,1,4,7,1,21,1,2,1,4,6,1,10,1,2,2,1,7,1,...]		1.92756197548292530426190586173662216
1,00743 47568 84279 37609 ^{Mw 26}	Constante DeVicci's Teseracto		${f_{(3,4)}}$	Arista del mayor cubo, dentro de un hipercubo unitario 4D. La menor raíz real de $:\;\;4x^{4}{-}28x^{3}{-}7x^{2}{+}16x{+}16=0$	Root[4x^8-28x^6 -7x^4+16x^2+16 =0]	A	A243309	[1;134,1,1,73,3,1,5,2,1,6,3,11,4,1,5,5,1,1,48,...]		1.00743475688427937609825359523109914
0,15915 49430 91895 33576 ^{Mw 27}	Constante A de Plouffe ³²		${A}$	${\frac {1}{2\pi }}$	1/(2 pi)	T	A086201	[0;6,3,1,1,7,2,146,3,6,1,1,2,7,5,5,1,4,1,2,42,...]		0.15915494309189533576888376337251436
0,41245 40336 40107 59778 ^{Mw 28}	Constante de Thue-Morse ³³		$\tau$	$\sum _{n=0}^{\infty }{\frac {t_{n}}{2^{n+1}}}$ donde ${t_{n}}$ es la secuencia Thue–Morse y donde $\tau (x)=\sum _{n=0}^{\infty }(-1)^{t_{n}}\,x^{n}=\prod _{n=0}^{\infty }(1-x^{2^{n}})$		T	A014571	[0;2,2,2,1,4,3,5,2,1,4,2,1,5,44,1,4,1,2,4,1,1,...]		0.41245403364010759778336136825845528
0,58057 75582 04892 40229 ^{Mw 29}	Constante de Pell³⁴		${{\mathcal {P}}_{_{Pell}}}$	$1-\prod _{n=0}^{\infty }\left(1-{\frac {1}{2^{2n+1}}}\right)$	N[1-prod[n=0 to ∞] {1-1/(2^(2n+1)}]	T ?	A141848	[0;1,1,2,1,1,1,1,14,1,3,1,1,6,9,18,7,1,27,1,1,...]		0.58057755820489240229004389229702574
2,20741 60991 62477 96230 ^{Mw 30}	Problema moviendo el sofá de Hammersley³⁵		${S_{_{H}}}$	${\frac {\pi }{2}}+{\frac {2}{\pi }}\,$ ¿Cuál es el área más grande de una forma, que pueda ser maniobrada en un pasillo en forma de L y tenga de ancho la unidad ?	pi/2 + 2/pi	T	A086118	[2;4,1,4,1,1,2,5,1,11,1,1,5,1,6,1,3,1,1,1,1,7,...]	1967	2.20741609916247796230685674512980889
1,15470 05383 79251 52901 ^{Mw 31}	Constante de Hermite³⁶		$\gamma _{_{2}}$	${\frac {2}{\sqrt {3}}}={\frac {1}{\cos \,({\frac {\pi }{6}})}}$	2/sqrt(3)	A	1+ A246724	[1;6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,...] [1;6,2]		1.15470053837925152901829756100391491
0,63092 97535 71457 43709 ^{Mw 32}	Dimensión fractal del Conjunto de Cantor ³⁷		$d_{f}(k)$	$\lim _{\varepsilon \to 0}{\frac {\log N(\varepsilon )}{\log(1/\varepsilon )}}={\frac {\log 2}{\log 3}}$	log(2)/log(3) N[3^x=2]	T	A102525	[0;1,1,1,2,2,3,1,5,2,23,2,2,1,1,55,1,4,3,1,1,...]		0.63092975357145743709952711434276085
0,17150 04931 41536 06586 ^{Mw 33}	Constante Hall-Montgomery ³⁸		${{\delta }_{_{0}}}$	$1+{\frac {\pi ^{2}}{6}}+2\;\mathrm {Li} _{2}\left(-{\sqrt {e}}\;\right)\quad \mathrm {Li} _{2}\,\scriptstyle {\text{= Integral dilogarítmica}}$	1 + Pi^2/6 + 2*PolyLog[2, -Sqrt[E]]		A143301	[0;5,1,4,1,10,1,1,11,18,1,2,19,14,1,51,1,2,1,...]		0.17150049314153606586043997155521210
1,55138 75245 48320 39226 ^{Mw 34}	Constante Triángulo Calabi ³⁹		${C_{_{CR}}}$	${1 \over 3}+{(-23+3i{\sqrt {237}})^{\tfrac {1}{3}} \over 3\cdot 2^{\tfrac {2}{3}}}+{11 \over 3(2(-23+3i{\sqrt {237}}))^{\tfrac {1}{3}}}$	FindRoot[ 2x^3-2x^2-3x+2 ==0, {x, 1.5}, WorkingPrecision->40]	A	A046095	[1;1,1,4,2,1,2,1,5,2,1,3,1,1,390,1,1,2,11,6,2,...]	1946 ~	1.55138752454832039226195251026462381
0,97027 01143 92033 92574 ^{Mw 35}	Constante de Lochs⁴⁰		${{\text{£}}_{_{Lo}}}$	${\frac {6\ln 2\ln 10}{\pi ^{2}}}$	6ln(2)ln(10)/Pi^2		A086819	[0;1,32,1,1,1,2,1,46,7,2,7,10,8,1,71,1,37,1,1,...]	1964	0.97027011439203392574025601921001083
1,30568 67 ≈ ^{Mw 36}	Dimensión fractal del círculo de Apolonio ⁴¹		$\varepsilon$				A052483	[0;3,2,3,16,8,10,3,1,1,2,1,3,1,2,13,1,1,4,1,5,...]		1.3056867 ≈
0,00131 76411 54853 17810 ^{Mw 37}	Constante de Heath-Brown–Moroz⁴²		${C_{_{HBM}}}$	${\underset {p_{n}:\,{primo}}{\prod _{n=1}^{\infty }\left(1-{\frac {1}{p_{n}}}\right)^{7}\left(1+{\frac {7p_{n}+1}{p_{n}^{2}}}\right)}}$	N[prod[n=1 to ∞] {((1-1/prime(n))^7) (1+(7prime(n)+1) /(prime(n)^2))}]	T ?	A118228	[0;758,1,13,1,2,3,56,8,1,1,1,1,1,143,1,1,1,2,...]		0.00131764115485317810981735232251358
0,14758 36176 50433 27417 ^{Mw 38}	Constante gamma de Plouffe ⁴³		${C}$	${\frac {1}{\pi }}\arctan {\frac {1}{2}}={\frac {1}{\pi }}\sum _{n=0}^{\infty }{\frac {(-1)^{n}}{(2^{2n+1})(2n+1)}}$ $={\frac {1}{\pi }}\left({\frac {1}{2}}-{\frac {1}{3\cdot 2^{3}}}+{\frac {1}{5\cdot 2^{5}}}-{\frac {1}{7\cdot 2^{7}}}+\cdots \right)$	Arctan(1/2)/Pi	T	A086203	[0;6,1,3,2,5,1,6,5,3,1,1,2,1,1,2,3,1,2,3,2,2,...]		0.14758361765043327417540107622474052
0,70523 01717 91800 96514 ^{Mw 39}	Constante Primorial Suma de productos de inverso de primos ⁴⁴		${P_{\#}}$	${\underset {p_{n}:\,{primo}}{\sum _{n=1}^{\infty }{\frac {1}{p_{n}\#}}={\frac {1}{2}}+{\frac {1}{6}}+{\frac {1}{30}}+{\frac {1}{210}}+...=\sum _{k=1}^{\infty }\prod _{n=1}^{k}{\frac {1}{p_{n}}}}}$	Sum[k=1 to ∞](prod[n=1 to k]{1/prime(n)})	I	A064648	[0;1,2,2,1,1,4,1,2,1,1,6,13,1,4,1,16,6,1,1,4,...]		0.70523017179180096514743168288824851
0,29156 09040 30818 78013 ^{Mw 40}	Constante dimer 2D, recubrimiento con dominós ⁴⁵ · ⁴⁶		${\frac {C}{\pi }}$ C=catalan	$\int \limits _{-\pi }^{\pi }{\frac {\cosh ^{-1}\left({\frac {\sqrt {\cos(t)+3}}{\sqrt {2}}}\right)}{4\pi }}dt$	N[int[-pi to pi] {arccosh(sqrt( cos(t)+3)/sqrt(2)) /(4*Pi) /, dt}]		A143233	[0;3,2,3,16,8,10,3,1,1,2,1,3,1,2,13,1,1,4,1,5,...]		0.29156090403081878013838445646839491
0,72364 84022 98200 00940 ^{Mw 41}	Constante de Sarnak		${C_{sa}}$	$\prod _{p>2}{\Big (}1-{\frac {p+2}{p^{3}}}{\Big )}$	N[prod[k=2 to ∞] {1-(prime(k)+2) /(prime(k)^3)}]	T ?	A065476	[0;1,2,1,1,1,1,1,1,1,4,4,1,1,1,1,1,1,1,8,2,1,1,...]		0.72364840229820000940884914980912759
0,63212 05588 28557 67840 ^{Mw 42}	Constante de tiempo⁴⁷		${\tau }$	$\lim _{n\to \infty }1-{\frac {!n}{n!}}=\lim _{n\to \infty }P(n)=\int _{0}^{1}e^{-x}dx=1-{\frac {1}{e}}=$ $\sum \limits _{n=0}^{\infty }{\frac {(-1)^{n}}{n!}}={\frac {1}{1!}}-{\frac {1}{2!}}+{\frac {1}{3!}}-{\frac {1}{4!}}+{\frac {1}{5!}}-{\frac {1}{6!}}+\cdots$	lim_(n->∞) (1- !n/n!) !n=subfactorial	T	A068996	[0;1,1,1,2,1,1,4,1,1,6,1,1,8,1,1,10,1,1,12,1,...] = [0;1,1,1,2n], n∈ℕ		0.63212055882855767840447622983853913
0.30366 30028 98732 65859 ^{Mw 43}	Constante de Gauss-Kuzmin-Wirsing⁴⁸		${\lambda }_{2}$	$\lim _{n\to \infty }{\frac {F_{n}(x)-\ln(1-x)}{(-\lambda )^{n}}}=\Psi (x),$ donde $\Psi (x)$ es una función analítica tal que $\Psi (0)\!=\!\Psi (1)\!=\!0$ .			A038517	[0;3,3,2,2,3,13,1,174,1,1,1,2,2,2,1,1,1,2,2,1,...]	1973	0.30366300289873265859744812190155623
1,30357 72690 34296 39125 ^{Mw 44}	Constante de Conway⁴⁹		${\lambda }$	${\begin{smallmatrix}x^{71}\quad \ -x^{69}-2x^{68}-x^{67}+2x^{66}+2x^{65}+x^{64}-x^{63}-x^{62}-x^{61}-x^{60}\\-x^{59}+2x^{58}+5x^{57}+3x^{56}-2x^{55}-10x^{54}-3x^{53}-2x^{52}+6x^{51}+6x^{50}\\+x^{49}+9x^{48}-3x^{47}-7x^{46}-8x^{45}-8x^{44}+10x^{43}+6x^{42}+8x^{41}-5x^{40}\\-12x^{39}+7x^{38}-7x^{37}+7x^{36}+x^{35}-3x^{34}+10x^{33}+x^{32}-6x^{31}-2x^{30}\\-10x^{29}-3x^{28}+2x^{27}+9x^{26}-3x^{25}+14x^{24}-8x^{23}\quad \ -7x^{21}+9x^{20}\\+3x^{19}\!-4x^{18}\!-10x^{17}\!-7x^{16}\!+12x^{15}\!+7x^{14}\!+2x^{13}\!-12x^{12}\!-4x^{11}\!-2x^{10}\\+5x^{9}+x^{7}\quad \ -7x^{6}+7x^{5}-4x^{4}+12x^{3}-6x^{2}+3x-6\ =\ 0\quad \quad \quad \end{smallmatrix}}$		A	A014715	[1;3,3,2,2,54,5,2,1,16,1,30,1,1,1,2,2,1,14,1,...]	1987	1.30357726903429639125709911215255189
1,18656 91104 15625 45282 ^{Mw 45}	Constante de Khinchin-Lévy ⁵⁰		${\beta }$	${\frac {\pi ^{2}}{12\,\ln 2}}$	pi^2 /(12 ln 2)		A100199	[1;5,2,1,3,1,1,28,18,16,3,2,6,2,6,1,1,5,5,9,...]	1935	1.18656911041562545282172297594723712
0,83564 88482 64721 05333	Constante de Baker ⁵¹		$\beta _{3}$	$\int _{0}^{1}{\frac {\mathrm {d} t}{1+t^{3}}}=\sum _{n=0}^{\infty }{\frac {(-1)^{n}}{3n+1}}={\frac {1}{3}}\left(\ln 2+{\frac {\pi }{\sqrt {3}}}\right)$	Sum[n=0 to ∞] {((-1)^(n))/(3n+1)}		A113476	[0;1,5,11,1,4,1,6,1,4,1,1,1,2,1,3,2,2,2,2,1,3,...]		0.83564884826472105333710345970011076
23,10344 79094 20541 6160 ^{Mw 46}	Serie de Kempner(0) ⁵²		${K_{0}}$	$1{+}{\frac {1}{2}}{+}{\frac {1}{3}}{+}\cdots {+}{\frac {1}{9}}{+}{\frac {1}{11}}{+}\cdots {+}{\frac {1}{19}}{+}{\frac {1}{21}}{+}\cdots {+}\,{\text{etc.}}$ ${+}{\frac {1}{99}}{+}{\frac {1}{111}}{+}\cdots {+}{\frac {1}{119}}{+}{\frac {1}{121}}{+}\cdots \;\;{\overset {Excluidos\;los}{\underset {contienen\;ceros.}{\scriptstyle denominadores\;que}}}$	1+1/2+1/3+1/4+1/5 +1/6+1/7+1/8+1/9 +1/11+1/12+1/13 +1/14+1/15+...		A082839	[23;9,1,2,3244,1,1,5,1,2,2,8,3,1,1,6,1,84,1,...]		23.1034479094205416160340540433255981
0,98943 12738 31146 95174 ^{Mw 47}	Constante de Lebesgue ⁵³		${C_{1}}$	$\lim _{n\to \infty }\!\!\left(\!{L_{n}{-}{\frac {4}{\pi ^{2}}}\ln(2n{+}1)}\!\!\right)\!{=}{\frac {4}{\pi ^{2}}}\!\left({\sum _{k=1}^{\infty }\!{\frac {2\ln k}{4k^{2}{-}1}}}{-}{\frac {\Gamma '({\tfrac {1}{2}})}{\Gamma ({\tfrac {1}{2}})}}\!\!\right)$	4/pi^2[(2 Sum[k=1 to ∞] {ln(k)/(4k^2-1)}) -poligamma(1/2)]		A243277	[0;1,93,1,1,1,1,1,1,1,7,1,12,2,15,1,2,7,2,1,5,...]		0.98943127383114695174164880901886671
1,38135 64445 18497 79337	Constante Beta Kneser-Mahler ⁵⁴		$\beta$	$e^{^{\textstyle {\frac {2}{\pi }}\displaystyle {\int _{0}^{\frac {\pi }{3}}}\textstyle {t\tan t\ dt}}}=e^{^{\displaystyle {\,\int _{\frac {-1}{3}}^{\frac {1}{3}}}\textstyle {\,\ln \lfloor 1+e^{2\pi it}}\rfloor dt}}$	e^((PolyGamma(1,4/3) - PolyGamma(1,2/3) +9)/(4sqrt(3)Pi))		A242710	[1;2,1,1,1,1,1,4,1,139,2,1,3,5,16,2,1,1,7,2,1,...]	1963	1.38135644451849779337146695685062412
1,18745 23511 26501 05459 ^{Mw 48}	Constante de Foias _α⁵⁵		$F_{\alpha }$	$x_{n+1}=\left(1+{\frac {1}{x_{n}}}\right)^{n}{\text{ para }}n=1,2,3,\ldots$ La constante de Foias es el único número real tal que si x₁ = α, entonces la secuencia diverge a ∞. Cuando x₁ = α, $\,\lim _{n\to \infty }x_{n}{\tfrac {\log n}{n}}=1$			A085848	[1;5,2,1,81,3,2,2,1,1,1,1,1,6,1,1,3,1,1,4,3,2,...]	1970	1.18745235112650105459548015839651935
2,29316 62874 11861 03150 ^{Mw 49}	Constante de Foias _β		$F_{\beta }$	$x^{x+1}=(x+1)^{x}$	x^(x+1) = (x+1)^x		A085846	[2;3,2,2,3,4,2,3,2,130,1,1,1,1,1,6,3,2,1,15,1,...]	2000	2.29316628741186103150802829125080586
0,66170 71822 67176 23515 ^{Mw 50}	Constante de Robbins⁵⁶		$\Delta (3)$	${\frac {4\!+\!17{\sqrt {2}}\!-6{\sqrt {3}}\!-7\pi }{105}}\!+\!{\frac {\ln(1\!+\!{\sqrt {2}})}{5}}\!+\!{\frac {2\ln(2\!+\!{\sqrt {3}})}{5}}$	(4+172^(1/2)-6 3^(1/2)+21ln(1+ 2^(1/2))+42ln(2+ 3^(1/2))-7*Pi)/105		A073012	[0;1,1,1,21,1,2,1,4,10,1,2,2,1,3,11,1,331,1,4,...]	1978	0.66170718226717623515583113324841358
0,78853 05659 11508 96106 ^{Mw 51}	Constante de Lüroth ⁵⁷		$C_{L}$	$\sum _{n=2}^{\infty }{\frac {\ln \left({\frac {n}{n-1}}\right)}{n}}$	Sum[n=2 to ∞] log(n/(n-1))/n		A085361	[0;1,3,1,2,1,2,4,1,127,1,2,2,1,3,8,1,1,2,1,16,...]		0.78853056591150896106027632216944432
0,92883 58271 ^{Mw 52}	Constante entre primos gemelos de JJGJJG ⁵⁸		$B_{1}$	${\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{12}}+{\frac {1}{18}}+{\frac {1}{30}}+{\frac {1}{42}}+{\frac {1}{60}}+{\frac {1}{72}}+\cdots$	1/4 + 1/6 + 1/12 + 1/18 + 1/30 + 1/42 + 1/60 + 1/72 + ...		A241560	[0; 1, 13, 19, 4, 2, 3, 1, 1]	2014	0.928835827131
5,24411 51085 84239 62092 ^{Mw 53}	Constante 2 Lemniscata ⁵⁹		$2\varpi$	${\frac {[\Gamma ({\tfrac {1}{4}})]^{2}}{\sqrt {2\pi }}}=4\int _{0}^{1}{\frac {dx}{\sqrt {(1-x^{2})(2-x^{2})}}}$	Gamma[ 1/4 ]^2 /Sqrt[ 2 Pi ]		A064853	[5;4,10,2,1,2,3,29,4,1,2,1,2,1,2,1,4,9,1,4,1,2,...]	1718	5.24411510858423962092967917978223883
0,57595 99688 92945 43964 ^{Mw 54}	Constante Stephens⁶⁰		$C_{S}$	$\prod _{n=1}^{\infty }\left(1-{\frac {p}{p^{3}-1}}\right)$	Prod[n=1 to ∞] {1-prime(n) /(prime(n)^3-1)}	T ?	A065478	[0;1,1,2,1,3,1,3,1,2,1,77,2,1,1,10,2,1,1,1,7,...]	?	0.57595996889294543964316337549249669
0,73908 51332 15160 64165 ^{Mw 55}	Número de Dottie ⁶¹		$d$	$\lim _{x\to \infty }\cos ^{x}(c)=\underbrace {\cos(\cos(\cos(\cos(\cdots (\cos(c))))))} _{x}$	cos(c)=c	T	A003957	[0;1,2,1,4,1,40,1,9,4,2,1,15,2,12,1,21,1,17,...]		0.73908513321516064165531208767387340
0,67823 44919 17391 97803 ^{Mw 56}	Constante Taniguchi⁶²		$C_{T}$	$\prod _{n=1}^{\infty }\left(1-{\frac {3}{{p_{n}}^{3}}}+{\frac {2}{{p_{n}}^{4}}}+{\frac {1}{{p_{n}}^{5}}}-{\frac {1}{{p_{n}}^{6}}}\right)$ $\scriptstyle p_{n}=\,{\text{primo}}$	Prod[n=1 to ∞] {1 -3/prime(n)^3 +2/prime(n)^4 +1/prime(n)^5 -1/prime(n)^6}	T ?	A175639	[0;1,2,9,3,1,2,9,11,1,13,2,15,1,1,1,2,4,1,1,1,...]	?	0.67823449191739197803553827948289481
1,35845 62741 82988 43520 ^{Mw 57}	Constante espiral áurea		$c$	$\varphi ^{\frac {2}{\pi }}=\left({\frac {1+{\sqrt {5}}}{2}}\right)^{\frac {2}{\pi }}$	GoldenRatio^(2/Pi)		A212224	[1;2,1,3,1,3,10,8,1,1,8,1,15,6,1,3,1,1,2,3,1,1,...]		1.35845627418298843520618060050187945
2,79128 78474 77920 00329	Raíces anidadas S₅		$S_{5}$	$\displaystyle {\frac {{\sqrt {21}}+1}{2}}=\scriptstyle \,{\sqrt {5+{\sqrt {5+{\sqrt {5+{\sqrt {5+{\sqrt {5+\cdots }}}}}}}}}}\;$ $=1+\,\scriptstyle {\sqrt {5-{\sqrt {5-{\sqrt {5-{\sqrt {5-{\sqrt {5-\cdots }}}}}}}}}}\;$	(sqrt(21)+1)/2	A	A222134	[2;1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,...] [2;1,3]		2.79128784747792000329402359686400424
1,85407 46773 01371 91843 ^{Mw 58}	Constante Lemniscata de Gauss ⁶³		$L{\text{/}}{\sqrt {2}}$	$\int \limits _{0}^{\infty }{\frac {\mathrm {d} x}{\sqrt {1+x^{4}}}}={\frac {1}{4{\sqrt {\pi }}}}\,\Gamma \left({\frac {1}{4}}\right)^{2}={\frac {4\left({\frac {1}{4}}!\right)^{2}}{\sqrt {\pi }}}$ Γ() = Función Gamma	pi^(3/2)/(2 Gamma(3/4)^2)		A093341	[1;1,5,1,5,1,3,1,6,2,1,4,16,3,112,2,1,1,18,1,...]	?	1.85407467730137191843385034719526005
1,75874 36279 51184 82469	Constante Producto infinito, con Alladi-Grinstead ⁶⁴		$Pr_{1}$	$\prod _{n=2}^{\infty }{\Big (}1+{\frac {1}{n}}{\Big )}^{\frac {1}{n}}$	Prod[n=2 to ∞] {(1+1/n)^(1/n)}		A242623	[1;1,3,6,1,8,1,4,3,1,4,1,1,1,6,5,2,40,1,387,2,...]	1977	1.75874362795118482469989684865589317
1,73245 47146 00633 47358 ^{Ow 4}	Constante inversa de Euler-Mascheroni		${\frac {1}{\gamma }}$	$\left(\int _{0}^{1}-\log \left(\log {\frac {1}{x}}\right)\,dx\right)^{-1}=\sum _{n=1}^{\infty }(-1)^{n}(-1+\gamma )^{n}$	1/Integrate_ (x=0 to 1) {-log(log(1/x))}		A098907	[1;1,2,1,2,1,4,3,13,5,1,1,8,1,2,4,1,1,40,1,11,...]		1.73245471460063347358302531586082968
1,94359 64368 20759 20505 ^{Mw 59}	Constante Euler Totient ⁶⁵ ⁶⁶		$ET$	${\underset {p{\text{= Nros. primos}}}{\prod _{p}{\Big (}1+{\frac {1}{p(p-1)}}{\Big )}}}={\frac {\zeta (2)\;\zeta (3)}{\zeta (6)}}={\frac {315\;\zeta (3)}{2\pi ^{4}}}$	zeta(2)*zeta(3) /zeta(6)		A082695	[1;1,16,1,2,1,2,3,1,1,3,2,1,8,1,1,1,1,1,1,1,32,...]	1750	1.94359643682075920505707036257476343
1,49534 87812 21220 54191	Raíz cuarta de cinco ⁶⁷		${\sqrt[{4}]{5}}$	${\sqrt[{5}]{5\,{\sqrt[{5}]{5\,{\sqrt[{5}]{5\,{\sqrt[{5}]{5\,{\sqrt[{5}]{5\,\cdots }}}}}}}}}}$	(5(5(5(5(5(5(5) ^1/5)^1/5)^1/5) ^1/5)^1/5)^1/5) ^1/5 ...	A	A011003	[1;2,53,4,96,2,1,6,2,2,2,6,1,4,1,49,17,2,3,2,...]		1.49534878122122054191189899414091339
0,87228 40410 65627 97617 ^{Mw 60}	Área Círculo de Ford⁶⁸		$A_{CF}$	${\displaystyle \sum _{q\geq 1}\sum _{(p,q)=1 \atop 1\leq p$ ς() = Función zeta	pi Zeta(3) /(4 Zeta(4))			[0;1,6,1,4,1,7,5,36,3,29,1,1,10,3,2,8,1,1,1,3,...]	?	0.87228404106562797617519753217122587
1,08232 32337 11138 19151 ^{Mw 61}	Constante Zeta(4) ⁶⁹		$\zeta (4)$	${\frac {\pi ^{4}}{90}}=\sum _{n=1}^{\infty }{\frac {1}{n^{4}}}={\frac {1}{1^{4}}}+{\frac {1}{2^{4}}}+{\frac {1}{3^{4}}}+{\frac {1}{4^{4}}}+{\frac {1}{5^{4}}}+...$	Sum[n=1 to ∞] {1/n^4}	T	A013662	[1;12,6,1,3,1,4,183,1,1,2,1,3,1,1,5,4,2,7,...]		1.08232323371113819151600369654116790
1,56155 28128 08830 27491	Raíz Triangular de 2. ⁷⁰		${R_{2}}$	${\frac {{\sqrt {17}}-1}{2}}=\,\scriptstyle {\sqrt {4+{\sqrt {4+{\sqrt {4+{\sqrt {4+{\sqrt {4+{\sqrt {4+\cdots }}}}}}}}}}}}\,\,-1$ $=\,\scriptstyle {\sqrt {4-{\sqrt {4-{\sqrt {4-{\sqrt {4-{\sqrt {4-{\sqrt {4-\cdots }}}}}}}}}}}}\textstyle$	(sqrt(17)-1)/2	A	A222133	[1;1,1,3,1,1,3,1,1,3,1,1,3,1,1,3,1,1,3,1,1,3,1,...] [1;1,1,3]		1.56155281280883027491070492798703851
1,45607 49485 82689 67139 ^{Mw 62}	Constante de Backhouse ⁷¹		${B}$	$\lim _{k\to \infty }\left\|{\frac {q_{k+1}}{q_{k}}}\right\vert \quad \scriptstyle {\text{donde:}}\displaystyle \;\;Q(x)={\frac {1}{P(x)}}=\!\sum _{k=1}^{\infty }q_{k}x^{k}$ $P(x)=\!\sum _{k=1}^{\infty }{\underset {p_{k}:\,{primo}}{p_{k}x^{k}}}\!\!=1{+}2x{+}3x^{2}{+}5x^{3}{+}7x^{4}{+}...$	1/( FindRoot[0 == 1 + Sum[x^n Prime[n], {n, 10000}], {x, {1}})		A072508	[1;2,5,5,4,1,1,18,1,1,1,1,1,2,13,3,1,2,4,16,4,...]	1995	1.45607494858268967139959535111654355
1,43599 11241 76917 43235 ^{Mw 63}	Constante interpolación de Lebesgue ⁷² · ⁷³		${L_{1}}$	$\prod _{\begin{smallmatrix}i=0\\j\neq i\end{smallmatrix}}^{n}{\frac {x-x_{i}}{x_{j}-x_{i}}}={\frac {1}{\pi }}\int _{0}^{\pi }{\frac {\lfloor \sin {\frac {3t}{2}}\rfloor }{\sin {\frac {t}{2}}}}\,dt={\frac {1}{3}}+{\frac {2{\sqrt {3}}}{\pi }}$	1/3 + 2*sqrt(3)/Pi	T	A226654	[1;2,3,2,2,6,1,1,1,1,4,1,7,1,1,1,2,1,3,1,2,1,1,...]	1902 ~	1.43599112417691743235598632995927221
1,04633 50667 70503 18098	Constante mass Minkowski-Siegel ⁷⁴		$F_{1}$	$\prod _{n=1}^{\infty }{\frac {n!}{{\sqrt {2\pi n}}\left({\frac {n}{e}}\right)^{n}{\sqrt[{12}]{1+{\tfrac {1}{n}}}}}}$	N[prod[n=1 to ∞] n! /(sqrt(2Pin) (n/e)^n (1+1/n) ^(1/12))]		A213080	[1;21,1,1,2,1,1,4,2,1,5,7,2,1,20,1,1,1134,3,..]	1867 1885 1935	1.04633506677050318098095065697776037
1,86002 50792 21190 30718	Constante espiral de Theodorus ⁷⁵		$\partial$	$\sum _{n=1}^{\infty }{\frac {1}{{\sqrt {n^{3}}}+{\sqrt {n}}}}=\sum _{n=1}^{\infty }{\frac {1}{{\sqrt {n}}(n+1)}}$	Sum[n=1 to ∞] {1/(n^(3/2) +n^(1/2))}		A226317	[1;1,6,6,1,15,11,5,1,1,1,1,5,3,3,3,2,1,1,2,19,...]	-460 a -399	1.86002507922119030718069591571714332
0,80939 40205 40639 13071 ^{Mw 64}	Constante de Alladi-Grinstead⁷⁶		${{\mathcal {A}}_{AG}}$	$e^{-1+\sum \limits _{k=2}^{\infty }\sum \limits _{n=1}^{\infty }{\frac {1}{nk^{n+1}}}}=e^{-1-\sum \limits _{k=2}^{\infty }{\frac {1}{k}}\ln \left(1-{\frac {1}{k}}\right)}$	e^{(sum[k=2 to ∞] \|sum[n=1 to ∞] {1/(n k^(n+1))})-1}		A085291	[0;1,4,4,17,4,3,2,5,3,1,1,1,1,6,1,1,2,1,22,...]	1977	0.80939402054063913071793188059409131
1,26185 95071 42914 87419 ^{Mw 65}	Dimensión fractal del Copo de nieve de Koch ⁷⁷		${C_{k}}$	${\frac {\log 4}{\log 3}}$	log(4)/log(3)	T	A100831	[1;3,1,4,1,1,11,1,46,1,5,112,1,1,1,1,1,3,1,7,...]		1.26185950714291487419905422868552171
1,22674 20107 20353 24441 ^{Mw 66}	Constante Factorial de Fibonacci ⁷⁸		$F$	$\prod _{n=1}^{\infty }\left(1-\left(-{\frac {1}{{\varphi }^{2}}}\right)^{n}\right)=\prod _{n=1}^{\infty }\left(1-\left({\frac {{\sqrt {5}}-3}{2}}\right)^{n}\right)$	prod[n=1 to ∞] {1-((sqrt(5) -3)/2)^n}		A062073	[1;4,2,2,3,2,15,9,1,2,1,2,15,7,6,21,3,5,1,23,...]		1.22674201072035324441763023045536165
0,85073 61882 01867 26036 ^{Mw 67}	Constante de plegado de papel ⁷⁹ ·⁸⁰		${P_{f}}$	$\sum _{n=0}^{\infty }{\frac {8^{2^{n}}}{2^{2^{n+2}}-1}}=\sum _{n=0}^{\infty }{\cfrac {\tfrac {1}{2^{2^{n}}}}{1-{\tfrac {1}{2^{2^{n+2}}}}}}$	N[Sum[n=0 to ∞] {8^2^n/(2^2^ (n+2)-1)},37]		A143347	[0;1,5,1,2,3,21,1,4,107,7,5,2,1,2,1,1,2,1,6,...]	?	0.85073618820186726036779776053206660
6,58088 59910 17920 97085	Constante de Froda ⁸¹		$2^{\,e}$	$2^{e}$	2^e			[6;1,1,2,1,1,2,3,1,14,11,4,3,1,1,7,5,5,2,7,...]		6.58088599101792097085154240388648649
– 0,5 ± 0,86602 54037 84438 64676 i	Raíz cúbica de 1 ⁸²		${\sqrt[{3}]{1}}$	${\begin{cases}\ \ 1\\-{\frac {1}{2}}+{\frac {\sqrt {3}}{2}}i\\-{\frac {1}{2}}-{\frac {\sqrt {3}}{2}}i.\end{cases}}$	1, E^(2i pi/3) , E^(-2i pi/3)	C A	A010527	- [0,5] ± [0;1,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,...] i - [0,5] ± [0; 1, 6, 2] i		- 0,5 ± 0.8660254037844386467637231707529 i
1,11786 41511 89944 97314 ^{Mw 68}	Constante de Goh-Schmutz ⁸³		$C_{GS}$	$\int _{0}^{\infty }{\frac {\log(s+1)}{e^{s}-1}}\ ds=\!-\!\sum _{n=1}^{\infty }{\frac {e^{n}}{n}}Ei(-n){\overset {Ei:}{\underset {Exponencial}{\scriptstyle Integral}}}$	Integrate{ log(s+1) /(E^s-1)}		A143300	[1;8,2,15,2,7,2,1,1,1,1,2,3,5,3,5,1,1,4,13,1,...]		1.11786415118994497314040996202656544
1,11072 07345 39591 56175 ^{Mw 69}	Razón entre un cuadrado y la circunferencia circunscrita ⁸⁴		${\frac {\pi }{2{\sqrt {2}}}}$	$\sum _{n=1}^{\infty }{\frac {(-1)^{\lfloor {\frac {n-1}{2}}\rfloor }}{2n+1}}={\frac {1}{1}}+{\frac {1}{3}}-{\frac {1}{5}}-{\frac {1}{7}}+{\frac {1}{9}}+{\frac {1}{11}}-...$	Sum[n=1 to ∞] {(-1)^(floor((n-1)/2)) /(2n-1)}	T	A093954	[1;9,31,1,1,17,2,3,3,2,3,1,1,2,2,1,4,9,1,3,...]		1.11072073453959156175397024751517342
2,82641 99970 67591 57554 ^{Mw 70}	Constante de Murata ⁸⁵		${C_{m}}$	$\prod _{n=1}^{\infty }{\underset {p_{n}:\,{primo}}{{\Big (}1+{\frac {1}{(p_{n}-1)^{2}}}{\Big )}}}$	Prod[n=1 to ∞] {1+1/(prime(n) -1)^2}	T ?	A065485	[2;1,4,1,3,5,2,2,2,4,3,2,1,3,2,1,1,1,8,2,2,28,...]		2.82641999706759157554639174723695374
1,52362 70862 02492 10627 ^{Mw 71}	Dimensión fractal de la frontera de la Curva del dragón ⁸⁶		${C_{d}}$	${\frac {\log \left({\frac {1+{\sqrt[{3}]{73-6{\sqrt {87}}}}+{\sqrt[{3}]{73+6{\sqrt {87}}}}}{3}}\right)}{\log(2)}}$	(log((1+(73-6 sqrt(87))^1/3+ (73+6 sqrt(87))^1/3) /3))/ log(2)))	T		[1;1,1,10,12,2,1,149,1,1,1,3,11,1,3,17,4,1,...]		1.52362708620249210627768393595421662
1,30637 78838 63080 69046 ^{Mw 72}	Constante de Mills ⁸⁷		${\theta }$ Es primo	$\lfloor \theta ^{3^{n}}\rfloor$	Nest[ NextPrime[#^3] &, 2, 7]^(1/3^8)		A051021	[1;3,3,1,3,1,2,1,2,1,4,2,35,21,1,4,4,1,1,3,2,...]	1947	1.30637788386308069046861449260260571
2,02988 32128 19307 25004 ^{Mw 73}	Volumen hiperbólico del Complemento del Nudo en Forma de Ocho ⁸⁸		${V_{8}}$	$2{\sqrt {3}}\,\sum _{n=1}^{\infty }{\frac {1}{n{2n \choose n}}}\sum _{k=n}^{2n-1}{\frac {1}{k}}=6\int \limits _{0}^{\pi /3}\log \left({\frac {1}{2\sin t}}\right)\,dt=$ $\scriptstyle {\frac {\sqrt {3}}{9}}\,\sum \limits _{n=0}^{\infty }{\frac {(-1)^{n}}{27^{n}}}\,\left\{\!{\frac {18}{(6n+1)^{2}}}-{\frac {18}{(6n+2)^{2}}}-{\frac {24}{(6n+3)^{2}}}-{\frac {6}{(6n+4)^{2}}}+{\frac {2}{(6n+5)^{2}}}\!\right\}$	6 integral[0 to pi/3] {log(1/(2 sin (n)))}		A091518	[2;33,2,6,2,1,2,2,5,1,1,7,1,1,1,113,1,4,5,1,...]		2.02988321281930725004240510854904057
1,46707 80794 33975 47289 ^{Mw 74}	Constante de Porter⁸⁹		${C}$	${\frac {6\ln 2}{\pi ^{2}}}\left(3\ln 2+4\,\gamma -{\frac {24}{\pi ^{2}}}\,\zeta '(2)-2\right)-{\frac {1}{2}}$ $\scriptstyle \gamma \,{\text{= Constante de Euler–Mascheroni = 0,5772156649...}}$ $\scriptstyle \zeta '(2)\,{\text{= Derivada de }}\zeta (2)\,=\,-\!\!\sum \limits _{n=2}^{\infty }{\frac {\ln n}{n^{2}}}\,{\text{= −0,9375482543...}}$	6ln2/Pi^2(3ln2+ 4 EulerGamma- WeierstrassZeta'(2) *24/Pi^2-2)-1/2		A086237	[1;2,7,10,1,2,38,5,4,1,4,12,5,1,5,1,2,3,1,...]	1974	1.46707807943397547289779848470722995
1,85193 70519 82466 17036 ^{Mw 75}	Constante de Gibbs ⁹⁰		${Si(\pi )}$ Integral senoidal	$\int _{0}^{\pi }{\frac {\sin t}{t}}\,dt=\sum \limits _{n=1}^{\infty }(-1)^{n-1}{\frac {\pi ^{2n-1}}{(2n-1)(2n-1)!}}$ $=\pi -{\frac {\pi ^{3}}{33!}}+{\frac {\pi ^{5}}{55!}}-{\frac {\pi ^{7}}{7*7!}}+...$	SinIntegral[Pi]		A036792	[1;1,5,1,3,15,1,5,3,2,7,2,1,62,1,3,110,1,39,...]		1.85193705198246617036105337015799136
1,78221 39781 91369 11177 ^{Mw 76}	Constante de Grothendieck ⁹¹		${K_{R}}$	${\frac {\pi }{2\log(1+{\sqrt {2}})}}={\frac {\pi }{2\operatorname {arsinh} 1}}$	pi/(2 log(1+sqrt(2)))		A088367	[1;1,3,1,1,2,4,2,1,1,17,1,12,4,3,5,10,1,1,3,...]		1.78221397819136911177441345297254934
1,74540 56624 07346 86349 ^{Mw 77}	Constante media armónica de Khinchin ⁹²		${K_{-1}}$	${\frac {\log 2}{\sum \limits _{n=1}^{\infty }{\frac {1}{n}}\log {\bigl (}1+{\frac {1}{n(n+2)}}{\bigr )}}}=\lim _{n\to \infty }{\frac {n}{{\frac {1}{a_{1}}}+{\frac {1}{a_{2}}}+...+{\frac {1}{a_{n}}}}}$ a₁...a_n son elementos de una fracción continua [a₀;a₁,a₂,...,a_n]	(log 2)/ (sum[n=1 to ∞] {1/n log(1+ 1/(n(n+2))}		A087491	[1;1,2,1,12,1,5,1,5,13,2,13,2,1,9,1,6,1,3,1,...]		1.74540566240734686349459630968366106
0,10841 01512 23111 36151 ^{Mw 78}	Constante de Trott ⁹³		$\mathrm {T} _{1}$	$\textstyle [1,0,8,4,1,0,1,5,1,2,2,3,1,1,1,3,6,...]$ ${\frac {1}{1+{\frac {1}{0+{\frac {1}{8+{\frac {1}{4+{\frac {1}{1+{\frac {1}{0+1{/...}}}}}}}}}}}}}$	Trott Constant		A039662	[0;9,4,2,5,1,2,2,3,1,1,1,3,6,1,5,1,1,2,...]		0.10841015122311136151129081140641509
1,45136 92348 83381 05028 ^{Mw 79}	Constante de Ramanujan–Soldner ⁹⁴ · ⁹⁵		${\mu }$	$\mathrm {Li} (x)=\int _{0}^{x}{\frac {dt}{\ln t}}=0\qquad \mathrm {Li} \,\scriptstyle {\text{= Integral logarítmica}}$ $\mathrm {Li} (x)\;=\;\mathrm {Ei} (\ln {x})\;\;\qquad \mathrm {Ei} \,\scriptstyle {\text{= Integral exponencial}}$	FindRoot[li(x) = 0]	I	A070769	[1;2,4,1,1,1,3,1,1,1,2,47,2,4,1,12,1,1,2,2,1,...]	1792 a 1809	1.45136923488338105028396848589202744
0,64341 05462 88338 02618 ^{Mw 80}	Constante de Cahen⁹⁶		$\xi _{2}$	$\sum _{k=1}^{\infty }{\frac {(-1)^{k}}{s_{k}-1}}={\frac {1}{1}}-{\frac {1}{2}}+{\frac {1}{6}}-{\frac {1}{42}}+{\frac {1}{1806}}{\,\pm \cdots }$ s_k son términos de la Sucesión de Sylvester 2, 3, 7, 43, 1807 ... Definida por $\scriptstyle \,S_{0}=\,2,\,\,S_{k}=\,1+\prod \limits _{n=0}^{k-1}S_{n}$ para k>0		T	A118227	[0; 1, 1, 1, 4, 9, 196, 16641, 639988804, ...]	1891	0.64341054628833802618225430775756476
-4,22745 35333 76265 408 ^{Mw 81}	Digamma (¼) ⁹⁷		$\psi ({\tfrac {1}{4}})$	$-\gamma -{\frac {\pi }{2}}-3\ln {2}=-\gamma +\sum _{n=0}^{\infty }\left({\frac {1}{n+1}}-{\frac {1}{n+{\tfrac {1}{4}}}}\right)$	-EulerGamma -\pi/2 -3 log 2		A020777	-[4;4,2,1,1,10,1,5,9,11,1,22,1,1,14,1,2,1,4,...]		-4,2274535333762654080895301460966835
1,77245 38509 05516 02729 ^{Mw 82}	Constante de Carlson-Levin⁹⁸		${\Gamma }({\tfrac {1}{2}})$	${\sqrt {\pi }}=\left(-{\frac {1}{2}}\right)!=\int _{-\infty }^{\infty }{\frac {1}{e^{x^{2}}}}\,dx=\int _{0}^{1}{\frac {1}{\sqrt {-\ln x}}}\,dx$	sqrt (pi)	T	A002161	[1;1,3,2,1,1,6,1,28,13,1,1,2,18,1,1,1,83,1,...]		1.77245385090551602729816748334114518
0,23571 11317 19232 93137 ^{Mw 83}	Constante de Copeland-Erdős⁹⁹		${{\mathcal {C}}_{CE}}$	$\sum _{n=1}^{\infty }{\frac {p_{n}}{10^{n+\sum \limits _{k=1}^{n}\lfloor \log _{10}{p_{k}}\rfloor }}}$	sum[n=1 to ∞] {prime(n) /(n+(10^ sum[k=1 to n]{floor (log_10 prime(k))}))}	I	A033308	[0;4,4,8,16,18,5,1,1,1,1,7,1,1,6,2,9,58,1,3,...]		0.23571113171923293137414347535961677
2,09455 14815 42326 59148 ^{Mw 84}	Constante de Wallis¹⁰⁰		$W$	${\sqrt[{3}]{\frac {45-{\sqrt {1929}}}{18}}}+{\sqrt[{3}]{\frac {45+{\sqrt {1929}}}{18}}}$	(((45-sqrt(1929)) /18))^(1/3)+ (((45+sqrt(1929)) /18))^(1/3)	A	A007493	[2;10,1,1,2,1,3,1,1,12,3,5,1,1,2,1,6,1,11,4,...]	1616 a 1703	2.09455148154232659148238654057930296
0,28674 74284 34478 73410 ^{Mw 85}	Constante Strongly Carefree¹⁰¹		$K_{2}$	$\prod _{n=1}^{\infty }{\underset {p_{n}:\,{primo}}{\left(1-{\frac {3p_{n}-2}{{p_{n}}^{3}}}\right)}}={\frac {6}{\pi ^{2}}}\prod _{n=1}^{\infty }{\underset {p_{n}:\,{primo}}{\left(1-{\frac {1}{p_{n}(p_{n}+1)}}\right)}}$	N[ prod[k=1 to ∞] {1 - (3*prime(k)-2) /(prime(k)^3)}]		A065473	[0;3,2,19,3,12,1,5,1,5,1,5,2,1,1,1,1,1,3,7,...]		0.28674742843447873410789271278983845
0,56714 32904 09783 87299 ^{Mw 86}	Constante Omega, función W(1) de Lambert ¹⁰²		${\Omega }$	$\sum _{n=1}^{\infty }{\frac {(-n)^{n-1}}{n!}}=\,\left({\frac {1}{e}}\right)^{\left({\frac {1}{e}}\right)^{\cdot ^{\cdot ^{\left({\frac {1}{e}}\right)}}}}=e^{-\Omega }={e}^{-e^{-e^{\cdot ^{\cdot ^{-e}}}}}$	Sum[n=1 to ∞] {(-n)^(n-1)/n!}	T	A030178	[0;1,1,3,4,2,10,4,1,1,1,1,2,7,306,1,5,1,2,1,...]	1728 a 1777	0.56714329040978387299996866221035555
0,54325 89653 42976 70695 ^{Mw 87}	Constante de Bloch-Landau ¹⁰³		${L}$	${\frac {\Gamma ({\tfrac {1}{3}})\;\Gamma ({\tfrac {5}{6}})}{\Gamma ({\tfrac {1}{6}})}}={\frac {(-{\tfrac {2}{3}})!\;(-1+{\tfrac {5}{6}})!}{(-1+{\tfrac {1}{6}})!}}$	gamma(1/3) *gamma(5/6) /gamma(1/6)		A081760	[0;1,1,5,3,1,1,2,1,1,6,3,1,8,11,2,1,1,27,4,...]	1929	0.54325896534297670695272829530061323
0,34053 73295 50999 14282 ^{Mw 88}	Constante de Pólya Random Walk¹⁰⁴		${p(3)}$	$1-\!\!\left({3 \over (2\pi )^{3}}\int \limits _{-\pi }^{\pi }\int \limits _{-\pi }^{\pi }\int \limits _{-\pi }^{\pi }{dx\,dy\,dz \over 3-\!\cos x-\!\cos y-\!\cos z}\right)^{\!-1}$ $=1-16{\sqrt {\tfrac {2}{3}}}\;\pi ^{3}\left(\Gamma ({\tfrac {1}{24}})\Gamma ({\tfrac {5}{24}})\Gamma ({\tfrac {7}{24}})\Gamma ({\tfrac {11}{24}})\right)^{-1}$	1-16Sqrt[2/3]Pi^3 /((Gamma[1/24] Gamma[5/24] Gamma[7/24] *Gamma[11/24])		A086230	[0;2,1,14,1,3,8,1,5,2,7,1,12,1,5,59,1,1,1,3,...]		0.34053732955099914282627318443290289
0,35323 63718 54995 98454 ^{Mw 89}	Constante de Hafner-Sarnak-McCurley (1)¹⁰⁵		${\sigma }$	$\prod _{k=1}^{\infty }\left\{1-\left[1-\prod _{j=1}^{n}(1-p_{k}^{-j})\right]^{2}\right\}$	prod[k=1 to ∞] {1-(1-prod[j=1 to n] {1-prime(k)^-j})^2}		A085849	[0;2,1,4,1,10,1,8,1,4,1,2,1,2,1,2,6,1,1,1,3,...]	1993	0.35323637185499598454351655043268201
0,74759 79202 53411 43517 ^{Mw 90}	Constante Parking de Rényi¹⁰⁶		${m}$	$\int \limits _{0}^{\infty }e^{\left(\!-2\int \limits _{0}^{x}{\frac {1-e^{-y}}{y}}dy\right)}\!dx={e^{-2\gamma }}\int \limits _{0}^{\infty }{\frac {e^{-2\Gamma (0,n)}}{n^{2}}}$	[e^(-2Gamma)] Int{n,0,∞}[ e^(- 2*Gamma(0,n)) /n^2]		A050996	[0;1,2,1,25,3,1,2,1,1,12,1,2,1,1,3,1,2,1,43,...]	1958	0.74759792025341143517873094383017817
0,60792 71018 54026 62866 ^{Mw 91}	Constante de Hafner-Sarnak-McCurley (2)¹⁰⁷		${\frac {1}{\zeta (2)}}$	${\frac {6}{\pi ^{2}}}{=}\prod _{n=0}^{\infty }{\underset {p_{n}:\,{primo}}{\left(1-{\frac {1}{{p_{n}}^{2}}}\right)}}{=}\textstyle \left(1{-}{\frac {1}{2^{2}}}\right)\left(1{-}{\frac {1}{3^{2}}}\right)\left(1{-}{\frac {1}{5^{2}}}\right)...$	Prod{n=1 to ∞} (1-1/prime(n)^2)	T	A059956	[0;1,1,1,1,4,2,4,7,1,4,2,3,4,10,1,2,1,1,1,...]		0.60792710185402662866327677925836583
0,12345 67891 01112 13141 ^{Mw 92}	Constante de Champernowne¹⁰⁸		$C_{10}$	$\sum _{n=1}^{\infty }\sum _{k=10^{n-1}}^{10^{n}-1}{\frac {k}{10^{kn-9\sum _{j=0}^{n-1}10^{j}(n-j-1)}}}$		T	A033307	[0;8,9,1,149083,1,1,1,4,1,1,1,3,4,1,1,1,15,...]	1933	0.12345678910111213141516171819202123
0,76422 36535 89220 66299 ^{Mw 93}	Constante de Landau-Ramanujan¹⁰⁹		$K$	${\frac {1}{\sqrt {2}}}\prod _{p\equiv 3\!\!\!\!\!\mod \!4}\!\!{\underset {\!\!\!\!\!\!\!\!p:\,{primo}}{\left(1-{\frac {1}{p^{2}}}\right)^{-{\frac {1}{2}}}}}\!\!={\frac {\pi }{4}}\prod _{p\equiv 1\!\!\!\!\!\mod \!4}\!\!{\underset {\!\!\!\!p:\,{primo}}{\left(1-{\frac {1}{p^{2}}}\right)^{\frac {1}{2}}}}$		T ?	A064533	[0;1,3,4,6,1,15,1,2,2,3,1,23,3,1,1,3,1,1,6,4,...]	1908	0.76422365358922066299069873125009232
1,58496 25007 21156 18145 ^{Mw 94}	Dimensión Hausdorf del triángulo de Sierpinski¹¹⁰		${log_{2}3}$	${\frac {log3}{log2}}={\frac {\sum _{n=0}^{\infty }{\frac {1}{2^{2n+1}(2n+1)}}}{\sum _{n=0}^{\infty }{\frac {1}{3^{2n+1}(2n+1)}}}}={\frac {{\frac {1}{2}}+{\frac {1}{24}}+{\frac {1}{160}}+...}{{\frac {1}{3}}+{\frac {1}{81}}+{\frac {1}{1215}}+...}}$	( Sum[n=0 to ∞] {1/(2^(2n+1)(2n+1))})/ ( Sum[n=0 to ∞] {1/(3^(2n+1)(2n+1))})	T	A020857	[1;1,1,2,2,3,1,5,2,23,2,2,1,1,55,1,4,3,1,1,...]		1.58496250072115618145373894394781651
0,11000 10000 00000 00000 0001 ^{Mw 95}	Número de Liouville¹¹¹		${\text{£}}_{Li}$	$\sum _{n=1}^{\infty }{\frac {1}{10^{n!}}}={\frac {1}{10^{1!}}}+{\frac {1}{10^{2!}}}+{\frac {1}{10^{3!}}}+{\frac {1}{10^{4!}}}+...$	Sum[n=1 to ∞] {10^(-n!)}	T	A012245	[1;9,1,999,10,9999999999999,1,9,999,1,9]		0.11000100000000000000000100...
0,46364 76090 00806 11621	Serie de Machin-Gregory¹¹²		$\arctan {\frac {1}{2}}$	${\underset {Para\;x=1/2\qquad \qquad }{\sum _{n=0}^{\infty }{\frac {\!\!(-1)^{n}x^{2n+1}}{2n+1}}={\frac {1}{2}}-\!{\frac {1}{3\cdot 2^{3}}}{+}{\frac {1}{5\cdot 2^{5}}}-\!{\frac {1}{7\cdot 2^{7}}}{+}{...}}}$	Sum[n=0 to ∞] {(-1)^n (1/2) ^(2n+1)/(2n+1)}	I	A073000	[0;2,6,2,1,1,1,6,1,2,1,1,2,10,1,2,1,2,1,1,1,...]		0.46364760900080611621425623146121440
1,27323 95447 35162 68615	Serie de Ramanujan-Forsyth ¹¹³		${\frac {4}{\pi }}$	$\displaystyle \sum \limits _{n=0}^{\infty }\textstyle \left({\frac {(2n-3)!!}{(2n)!!}}\right)^{2}={1\!+\!\left({\frac {1}{2}}\right)^{2}\!{+}\left({\frac {1}{2\cdot 4}}\right)^{2}\!{+}\left({\frac {1\cdot 3}{2\cdot 4\cdot 6}}\right)^{2}{+}...}$	Sum[n=0 to ∞] {[(2n-3)!! /(2n)!!]^2}	I	A088538	[1;3,1,1,1,15,2,72,1,9,1,17,1,2,1,5,1,1,10,...]		1.27323954473516268615107010698011489
15,15426 22414 79264 1897 ^{Mw 96}	Constante exponencial reiterado¹¹⁴		$e^{e}$	$\sum _{n=0}^{\infty }{\frac {e^{n}}{n!}}=\lim _{n\to \infty }\left({\frac {1+n}{n}}\right)^{n^{-n}(1+n)^{1+n}}$	Sum[n=0 to ∞] {(e^n)/n!}		A073226	[15;6,2,13,1,3,6,2,1,1,5,1,1,1,9,4,1,1,1,6,7,...]		15.1542622414792641897604302726299119
36,46215 96072 07911 77099	Pi elevado a pi ¹¹⁵		$\pi ^{\pi }$	$\pi ^{\pi }$	pi^pi		A073233	[36;2,6,9,2,1,2,5,1,1,6,2,1,291,1,38,50,1,2,...]		36.4621596072079117709908260226921236
0,53964 54911 90413 18711	Constante de Ioachimescu ¹¹⁶		$2+\zeta ({\tfrac {1}{2}})$	${2{-}(1{+}{\sqrt {2}})\sum _{n=1}^{\infty }{\frac {(-1)^{n+1}}{\sqrt {n}}}}=\gamma +\sum _{n=1}^{\infty }{\frac {(-1)^{2n}\;\gamma _{n}}{2^{n}n!}}$	γ +N [sum[n=1 to ∞] {((-1)^(2n) gamma_n) /(2^n n!)}]		2- A059750	[0;1,1,5,1,4,6,1,1,2,6,1,1,2,1,1,1,37,3,2,1,...]		0.53964549119041318711050084748470198
2,58498 17595 79253 21706 ^{Mw 97}	Constante de Sierpiński ¹¹⁷		${K}$	$\pi \left(2\gamma +\ln {\frac {4\pi ^{3}}{\Gamma ({\tfrac {1}{4}})^{4}}}\right)=\pi (2\gamma +4\ln \Gamma ({\tfrac {3}{4}})-\ln \pi )$ $=\pi \left(2\ln 2+3\ln \pi +2\gamma -4\ln \Gamma ({\tfrac {1}{4}})\right)$	-Pi Log[Pi]+2 Pi EulerGamma +4 Pi Log [Gamma[3/4]]		A062089	[2;1,1,2,2,3,1,3,1,9,2,8,4,1,13,3,1,15,18,1,...]	1907	2.58498175957925321706589358738317116
1,83928 67552 14161 13255	Constante Tribonacci ¹¹⁸		${\phi _{}}_{3}$	$\textstyle {\frac {1+{\sqrt[{3}]{19+3{\sqrt {33}}}}+{\sqrt[{3}]{19-3{\sqrt {33}}}}}{3}}=\scriptstyle \,1+\left({\sqrt[{3}]{{\tfrac {1}{2}}+{\sqrt[{3}]{{\tfrac {1}{2}}+{\sqrt[{3}]{{\tfrac {1}{2}}+...}}}}}}\right)^{-1}$	(1/3)(1+(19+3 sqrt(33))^(1/3) +(19-3 *sqrt(33))^(1/3))	A	A058265	[1;1,5,4,2,305,1,8,2,1,4,6,14,3,1,13,5,1,7,...]		1.83928675521416113255185256465328660
0,69220 06275 55346 35386 ^{Mw 98}	Valor mínimo de la función ƒ(x) = x^x ¹¹⁹		${\left({\frac {1}{e}}\right)}^{\frac {1}{e}}$	${e}^{-{\frac {1}{e}}}$ = Inverso de: Número de Steiner	e^(-1/e)		A072364	[0;1,2,4,55,27,1,1,16,9,3,2,8,3,2,1,1,4,1,9,...]		0.69220062755534635386542199718278976
0,70710 67811 86547 52440 +0,70710 67811 86547 52440 i	Raíz cuadrada de i¹²⁰		${\sqrt {i}}$	${\sqrt[{4}]{-1}}={\frac {1+i}{\sqrt {2}}}=e^{\frac {i\pi }{4}}=\cos \left({\frac {\pi }{4}}\right)+i\sin \left({\frac {\pi }{4}}\right)$	(1+i)/(sqrt 2)	C A	A010503 A010503	[0;1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,..] = [0;1,2,...] [0;1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,..] i = [0;1,2,...] i		0.70710678118654752440084436210484903 + 0.70710678118654752440084436210484 i
1,15636 26843 32269 71685 ^{Mw 99}	Constante de recurrencia cúbica ¹²¹		${\sigma _{3}}$	$\prod _{n=1}^{\infty }n^{{3}^{-n}}={\sqrt[{3}]{1{\sqrt[{3}]{2{\sqrt[{3}]{3\cdots }}}}}}=1^{1/3}\;2^{1/9}\;3^{1/27}\cdots$	prod[n=1 to ∞] {n ^(1/3)^n}		A123852	[1;6,2,1,1,8,13,1,3,2,2,6,2,1,2,1,1,1,10,33,...]		1.15636268433226971685337032288736935
1,66168 79496 33594 12129 ^{Mw 100}	Recurrencia cuadrática de Somos¹²²		${\sigma }$	$\prod _{n=1}^{\infty }n^{{1/2}^{n}}={\sqrt {1{\sqrt {2{\sqrt {3{\sqrt {4\cdots }}}}}}}}=1^{1/2}\;2^{1/4}\;3^{1/8}\cdots$	prod[n=1 to ∞] {n ^(1/2)^n}	T ?	A065481	[1;1,1,1,21,1,1,1,6,4,2,1,1,2,1,3,1,13,13,...]		1.66168794963359412129581892274995074
0,95531 66181 24509 27816	Ángulo mágico¹²³		${\theta _{m}}$	$\arctan \left({\sqrt {2}}\right)=\arccos \left({\sqrt {\tfrac {1}{3}}}\right)\approx \textstyle {54,7356}^{\circ }$	arctan(sqrt(2))	T	A195696	[0;1,21,2,1,1,1,2,1,2,2,4,1,2,9,1,2,1,1,1,3,...]		0.95531661812450927816385710251575775
0,59634 73623 23194 07434 ^{Mw 101}	Constante de Euler-Gompertz ¹²⁴		${G}$	$-e\mathrm {Ei} (-1)=\int \limits _{0}^{\infty }{\frac {e^{-n}}{1{+}n}}\,dn=\textstyle {\frac {1}{1+{\frac {1}{1+{\frac {1}{1+{\frac {2}{1+{\frac {2}{1+{\frac {3}{1+{\frac {3}{1+4{/...}}}}}}}}}}}}}}}$	N[int[0 to ∞] {(e^-n)/(1+n)}]	I	A073003	[0;1,1,2,10,1,1,4,2,2,13,2,4,1,32,4,8,1,1,1,...]		0.59634736232319407434107849936927937
0,69777 46579 64007 98200 ^{Mw 102}	Constante de fracción continua, función de Bessel ¹²⁵		${C}_{CF}$	${\frac {I_{1}(2)}{I_{0}(2)}}={\frac {\sum \limits _{n=0}^{\infty }{\frac {n}{n!n!}}}{\sum \limits _{n=0}^{\infty }{\frac {1}{n!n!}}}}=\textstyle {\frac {1}{1+{\frac {1}{2+{\frac {1}{3+{\frac {1}{4+{\frac {1}{5+{\frac {1}{6+1{/...}}}}}}}}}}}}}$	(Sum {n=0 to ∞} n/(n!n!)) / (Sum {n=0 to ∞} 1/(n!n!))	I	A052119	[0;1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,...] = [0;p+1], p∈ℕ		0.69777465796400798200679059255175260
0,36651 29205 81664 32701	Mediana distribución de Gumbel ¹²⁶		${ll_{2}}$	$-\ln(\ln(2))$	-ln(ln(2))		A074785	[0;2,1,2,1,2,6,1,6,6,2,2,2,1,12,1,8,1,1,3,1,...]		0.36816512920566432701243915823266947
0,64624 54398 94813 30426 ^{Mw 103}	Constante de Masser-Gramain ¹²⁷		${C}$	$\gamma {\beta }(1){+}{\beta }'(1)=\pi \!\left(-\!\ln \Gamma ({\tfrac {1}{4}})+{\tfrac {3}{4}}\pi +{\tfrac {1}{2}}\ln 2+{\tfrac {1}{2}}\gamma \right)$ $=\pi \!\left(-\!\ln({\tfrac {1}{4}}!)+{\tfrac {3}{4}}\ln \pi -{\tfrac {3}{2}}\ln 2+{\tfrac {1}{2}}\,\gamma \right)$ $\scriptstyle \gamma \,{\text{= Constante de Euler–Mascheroni = 0,5772156649...}}$ β() = Función beta, Γ() = Función Gamma	Pi/4(2Gamma + 2Log[2] + 3Log[Pi] - 4 Log[Gamma[1/4]])		A086057	[0;1,1,1,4,1,3,2,3,9,1,33,1,4,3,3,5,3,1,3,4,...]		0.64624543989481330426647339684579279
0.69034 71261 14964 31946	Límite superior exponencial iterado ¹²⁸		${H}_{2n+1}$	$\lim _{n\to \infty }{H}_{2n+1}=\textstyle \left({\frac {1}{2}}\right)^{\left({\frac {1}{3}}\right)^{\left({\frac {1}{4}}\right)^{\cdot ^{\cdot ^{\left({\frac {1}{2n+1}}\right)}}}}}={2}^{-3^{-4^{\cdot ^{\cdot ^{-2n-1}}}}}$	2^-3^-4^-5^-6^ -7^-8^-9^-10^ -11^-12^-13 …		A242760	[0;1,2,4,2,1,3,1,2,2,1,4,1,2,4,3,1,1,10,1,3,2,...]		0.69034712611496431946732843846418942
0,65836 55992	Límite inferior exponencial iterado ¹²⁹		${H}_{2n}$	$\lim _{n\to \infty }{H}_{2n}=\textstyle \left({\frac {1}{2}}\right)^{\left({\frac {1}{3}}\right)^{\left({\frac {1}{4}}\right)^{\cdot ^{\cdot ^{\left({\frac {1}{2n}}\right)}}}}}={2}^{-3^{-4^{\cdot ^{\cdot ^{-2n}}}}}$	2^-3^-4^-5^-6^ -7^-8^-9^-10^ -11^-12 …			[0;1,1,1,12,1,2,1,1,4,3,1,1,2,1,2,1,51,2,2,1,...]		0.6583655992...
2,71828 18284 59045 23536 ^{Mw 104}	Número e, constante de Euler ¹³⁰		${e}$	$\sum _{n=0}^{\infty }{\frac {1}{n!}}={\frac {1}{0!}}+{\frac {1}{1}}+{\frac {1}{2!}}+{\frac {1}{3!}}+{\frac {1}{4!}}+{\frac {1}{5!}}+\cdots$ $2\!\prod _{n=1}^{\infty }\!\!\textstyle {\sqrt[{2^{n}}]{\frac {\prod _{i=1}^{2^{n-1}}(2^{n}+2i)}{\prod _{i=1}^{2^{n-1}}\!(2^{n}+2i-1)}}}=2{\sqrt {\frac {4}{3}}}{\sqrt[{4}]{\frac {6\cdot 8}{5\cdot 7}}}{\sqrt[{8}]{\frac {10\cdot 12\cdot 14\cdot 16}{9\cdot 11\cdot 13\cdot 15}}}\cdots$	Sum[n=0 to ∞] {1/n!}	T	A001113	[2;1,2,1,1,4,1,1,6,1,1,8,1,1,10,1,1,12,1,...] = [2;1,2p,1], p∈ℕ	1618	2.71828182845904523536028747135266250
2,74723 82749 32304 33305	Raíces anidadas de Ramanujan R₅ ¹³¹		$R_{5}$	$\scriptstyle {\sqrt {5+{\sqrt {5+{\sqrt {5-{\sqrt {5+{\sqrt {5+{\sqrt {5+{\sqrt {5-\cdots }}}}}}}}}}}}}}\;=\textstyle {\frac {2+{\sqrt {5}}+{\sqrt {15-6{\sqrt {5}}}}}{2}}$	(2+sqrt(5) +sqrt(15 -6 sqrt(5)))/2	A		[2;1,2,1,21,1,7,2,1,1,2,1,2,1,17,4,4,1,1,4,2,...]		2.74723827493230433305746518613420282
2,23606 79774 99789 69640^{Mw 105}	Raíz cuadrada de cinco Suma de Gauss ¹³²		${\sqrt {5}}$	$\scriptstyle (n=5)\displaystyle \sum _{k=0}^{n-1}e^{\frac {2k^{2}\pi i}{n}}=1+e^{\frac {2\pi i}{5}}+e^{\frac {8\pi i}{5}}+e^{\frac {18\pi i}{5}}+e^{\frac {32\pi i}{5}}$	Sum[k=0 to 4] {e^(2k^2 pi i/5)}	A	A002163	[2;4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,...] = [2;4,...]		2.23606797749978969640917366873127624
1,09864 19643 94156 48573 ^{Mw 106}	Constante París		$C_{Pa}$	$\prod _{n=2}^{\infty }{\frac {2\varphi }{\varphi +\varphi _{n}}}\;,\;\varphi {=}{Fi}$ con $\varphi _{n}{=}{\sqrt {1{+}\varphi _{n{-}1}}}$ y $\varphi _{1}{=}1$			A105415	[1;10,7,3,1,3,1,5,1,4,2,7,1,2,3,22,1,2,5,2,1,...]		1.09864196439415648573466891734359621
0,11494 20448 53296 20070 ^{Mw 107}	Constante de Kepler–Bouwkamp ¹³³		${\rho }$	$\prod _{n=3}^{\infty }\cos \left({\frac {\pi }{n}}\right)=\cos \left({\frac {\pi }{3}}\right)\cos \left({\frac {\pi }{4}}\right)\cos \left({\frac {\pi }{5}}\right)...$	prod[n=3 to ∞] {cos(pi/n)}		A085365	[0;8,1,2,2,1,272,2,1,41,6,1,3,1,1,26,4,1,1,...]		0.11494204485329620070104015746959874
1,28242 71291 00622 63687 ^{Mw 108}	Constante de Glaisher–Kinkelin ¹³⁴		${A}$	$e^{{\frac {1}{12}}-\zeta ^{\prime }(-1)}=e^{{\frac {1}{8}}-{\frac {1}{2}}\sum \limits _{n=0}^{\infty }{\frac {1}{n+1}}\sum \limits _{k=0}^{n}\left(-1\right)^{k}{\binom {n}{k}}\left(k+1\right)^{2}\ln(k+1)}$	e^(1/2-zeta´{-1})	T ?	A074962	[1;3,1,1,5,1,1,1,3,12,4,1,271,1,1,2,7,1,35,...]	1878	1.28242712910062263687534256886979172
3,62560 99082 21908 31193 ^{Mw 109}	Gamma(1/4) ¹³⁵		$\Gamma ({\tfrac {1}{4}})$	$4\left({\frac {1}{4}}\right)!=(2\pi )^{\frac {3}{4}}\prod _{k=1}^{\infty }\tanh \left({\frac {\pi k}{2}}\right)$	4(1/4)!	T	A068466	[3;1,1,1,2,25,4,9,1,1,8,4,1,6,1,1,19,1,1,4,1,...]	1729	3.62560990822190831193068515586767200
1,78107 24179 90197 98523 ^{Mw 110}	Exp.gamma por función G-Barnes ¹³⁶		$e^{\gamma }$	$\prod _{n=1}^{\infty }{\frac {e^{\frac {1}{n}}}{1+{\tfrac {1}{n}}}}=\prod _{n=0}^{\infty }\left(\prod _{k=0}^{n}(k+1)^{(-1)^{k+1}{n \choose k}}\right)^{\frac {1}{n+1}}=$ $\textstyle \left({\frac {2}{1}}\right)^{1/2}\left({\frac {2^{2}}{1\cdot 3}}\right)^{1/3}\left({\frac {2^{3}\cdot 4}{1\cdot 3^{3}}}\right)^{1/4}\left({\frac {2^{4}\cdot 4^{4}}{1\cdot 3^{6}\cdot 5}}\right)^{1/5}...$	Prod[n=1 to ∞] {e^(1/n)}/{1 + 1/n}		A073004	[1;1,3,1,1,3,5,4,1,1,2,2,1,7,9,1,16,1,1,1,2,...]	1900	1.78107241799019798523650410310717954
0,18785 96424 62067 12024 ^{Mw 111}	MRB Constant, Marvin Ray Burns ¹³⁷ ¹³⁸ ¹³⁹		$C_{{}_{MRB}}$	$\sum _{n=1}^{\infty }({-}1)^{n}(n^{1/n}{-}1)=-{\sqrt[{1}]{1}}+{\sqrt[{2}]{2}}-{\sqrt[{3}]{3}}+{\sqrt[{4}]{4}}\,...$	Sum[n=1 to ∞] {(-1)^n (n^(1/n)-1)}		A037077	[0;5,3,10,1,1,4,1,1,1,1,9,1,1,12,2,17,2,2,1,...]	1999	0.18785964246206712024851793405427323
1,01494 16064 09653 62502 ^{Mw 112}	Constante de Gieseking ¹⁴⁰		${\pi \ln \beta }$	${\frac {3{\sqrt {3}}}{4}}\left(1-\sum _{n=0}^{\infty }{\frac {1}{(3n+2)^{2}}}+\sum _{n=1}^{\infty }{\frac {1}{(3n+1)^{2}}}\right)=$ $\textstyle {\frac {3{\sqrt {3}}}{4}}\left(1{-}{\frac {1}{2^{2}}}{+}{\frac {1}{4^{2}}}{-}{\frac {1}{5^{2}}}{+}{\frac {1}{7^{2}}}{\pm }...\right)=\displaystyle \!\int _{0}^{\frac {2\pi }{3}}\!\ln \!\left(2\cos {\tfrac {t}{2}}\right){\mathrm {d} }t$	sqrt(3)3/4 (1 -Sum[n=0 to ∞] {1/((3n+2)^2)} +Sum[n=1 to ∞] {1/((3n+1)^2)})		A143298	[1;66,1,12,1,2,1,4,2,1,3,3,1,4,1,56,2,2,11,...]	1912	1.01494160640965362502120255427452028
2,62205 75542 92119 81046 ^{Mw 113}	Constante Lemniscata¹⁴¹		${\varpi }$	$\pi \,{G}=4{\sqrt {\tfrac {2}{\pi }}}\,\Gamma {\left({\tfrac {5}{4}}\right)^{2}}={\tfrac {1}{4}}{\sqrt {\tfrac {2}{\pi }}}\,\Gamma {\left({\tfrac {1}{4}}\right)^{2}}=4{\sqrt {\tfrac {2}{\pi }}}\left({\tfrac {1}{4}}!\right)^{2}$	4 sqrt(2/pi) ((1/4)!)^2	T	A062539	[2;1,1,1,1,1,4,1,2,5,1,1,1,14,9,2,6,2,9,4,1,...]	1798	2.62205755429211981046483958989111941
0,83462 68416 74073 18628 ^{Mw 114}	Constante de Gauss¹⁴²		${G}$	${\underset {agm:\;Media\;aritm{\acute {e}}tica-geom{\acute {e}}trica}{{\frac {1}{\mathrm {agm} (1,{\sqrt {2}})}}={\frac {4{\sqrt {2}}\,({\tfrac {1}{4}}!)^{2}}{\pi ^{3/2}}}}}$	(4 sqrt(2) ((1/4)!)^2) /pi^(3/2)	T	A014549	[0;1,5,21,3,4,14,1,1,1,1,1,3,1,15,1,3,7,1,...]	1799	0.83462684167407318628142973279904680
0,00787 49969 97812 3844 ^{Mw 115}	Constante de Chaitin¹⁴³		${\Omega }$	$\sum _{p\in P}2^{-\|p\|}{\overset {p:\;{Programa\;que\;se\;para}}{\underset {P:\;Conjunto\;de\;todos\;los\;programas\;que\;se\;paran.}{\scriptstyle {\|p\|}:\;Tama{\tilde {n}}o\;del\;programa}}}$ Ver también: Problema de la parada		T	A100264	[0; 126, 1, 62, 5, 5, 3, 3, 21, 1, 4, 1]	1975	0.0078749969978123844
2,80777 02420 28519 36522 ^{Mw 116}	Constante Fransén–Robinson ¹⁴⁴		${F}$	$\int _{0}^{\infty }{\frac {1}{\Gamma (x)}}\,dx.=e+\int _{0}^{\infty }{\frac {e^{-x}}{\pi ^{2}+\ln ^{2}x}}\,dx$	N[int[0 to ∞] {1/Gamma(x)}]		A058655	[2;1,4,4,1,18,5,1,3,4,1,5,3,6,1,1,1,5,1,1,1...]	1978	2.80777024202851936522150118655777293
1,01734 30619 84449 13971 ^{Mw 117}	Zeta(6) ¹⁴⁵		$\zeta (6)$	${\frac {\pi ^{6}}{945}}=\prod _{n=1}^{\infty }{\underset {p_{n}:\,{primo}}{\frac {1}{{1-p_{n}}^{-6}}}}={\frac {1}{1{-}2^{-6}}}{\cdot }{\frac {1}{1{-}3^{-6}}}{\cdot }{\frac {1}{1{-}5^{-6}}}...$ $\textstyle =\sum _{n=1}^{\infty }{\frac {1}{n^{6}}}={\frac {1}{1^{6}}}+{\frac {1}{2^{6}}}+{\frac {1}{3^{6}}}+{\frac {1}{4^{6}}}+{\frac {1}{5^{6}}}+...$	Prod[n=1 to ∞] {1/(1 -prime(n)^-6)}	T	A013664	[1;57,1,1,1,15,1,6,3,61,1,5,3,1,6,1,3,3,6,1,...]		1.01734306198444913971451792979092052
1,64872 12707 00128 14684 ^{Ow 5}	Raíz cuadrada del número e ¹⁴⁶		${\sqrt {e}}$	$\sum _{n=0}^{\infty }{\frac {1}{2^{n}n!}}=\sum _{n=0}^{\infty }{\frac {1}{(2n)!!}}={\frac {1}{1}}+{\frac {1}{2}}+{\frac {1}{8}}+{\frac {1}{48}}+\cdots$	sum[n=0 to ∞] {1/(2^n n!)}	T	A019774	[1;1,1,1,5,1,1,9,1,1,13,1,1,17,1,1,21,1,1,...] = [1;1,1,1,4p+1], p∈ℕ		1.64872127070012814684865078781416357
i ... ^{Mw 118}	Número imaginario¹⁴⁷		${i}$	${\sqrt {-1}}={\frac {\ln(-1)}{\pi }}\qquad \qquad \mathrm {e} ^{i\,\pi }=-1$	sqrt(-1)	C I			1501 à 1576	i
4,81047 73809 65351 65547	Constante de John ¹⁴⁸		$\gamma$	${\sqrt[{i}]{i}}=i^{-i}=i^{\frac {1}{i}}=(i^{i})^{-1}=e^{\frac {\pi }{2}}$	e^(π/2)	T	A042972	[4;1,4,3,1,1,1,1,1,1,1,1,7,1,20,1,3,6,10,3,...]		4.81047738096535165547303566670383313
0.49801 56681 18356 04271 0.15494 98283 01810 68512 i	Factorial de i¹⁴⁹		${i}\,!$	$\Gamma (1+i)=i\,\Gamma (i)=\int \limits _{0}^{\infty }{\frac {t^{i}}{e^{t}}}\mathrm {d} t$	Gamma(1+i)	C	A212877 A212878	[0;6,2,4,1,8,1,46,2,2,3,5,1,10,7,5,1,7,2,...] - [0;2,125,2,18,1,2,1,1,19,1,1,1,2,3,34,...] i		0.49801566811835604271369111746219809 - 0.15494982830181068512495513048388 i
0,43828 29367 27032 11162 0,36059 24718 71385 485 i ^{Mw 119}	Tetración infinita de i¹⁵⁰		${}^{\infty }{i}$	$\lim _{n\to \infty }{}^{n}i=\lim _{n\to \infty }\underbrace {i^{i^{\cdot ^{\cdot ^{i}}}}} _{n}$	i^i^i^...	C	A077589 A077590	[0;2,3,1,1,4,2,2,1,10,2,1,3,1,8,2,1,2,1, ...] + [0;2,1,3,2,2,3,1,5,5,1,2,1,10,10,6,1,1...] i		0.43828293672703211162697516355126482 + 0.36059247187138548595294052690600 i
0,56755 51633 06957 82538	Módulo de la Tetración infinita de i¹⁵¹		$\|{}^{\infty }{i}\|$	$\lim _{n\to \infty }\left\|{}^{n}i\right\|=\left\|\lim _{n\to \infty }\underbrace {i^{i^{\cdot ^{\cdot ^{i}}}}} _{n}\right\|$	Mod(i^i^i^...)		A212479	[0;1,1,3,4,1,58,12,1,51,1,4,12,1,1,2,2,3,...]		0.56755516330695782538461314419245334
0,26149 72128 47642 78375 ^{Mw 120}	Constante de Meissel-Mertens ¹⁵²		${M}$	$\lim _{n\rightarrow \infty }\!\!\left(\sum _{p\leq n}{\frac {1}{p}}\!-\ln(\ln(n))\!\right)\!\!={\underset {\!\!\!\!\gamma :\,{\text{Constante de Euler}},\,\,p:\,{\text{primo}}}{\!\gamma \!+\!\!\sum _{p}\!\left(\!\ln \!\left(\!1\!-\!{\frac {1}{p}}\!\right)\!\!+\!{\frac {1}{p}}\!\right)}}$	gamma+ Sum[n=1 to ∞] {ln(1-1/prime(n)) +1/prime(n)}		A077761	[0;3,1,4,1,2,5,2,1,1,1,1,13,4,2,4,2,1,33,296,...]	1866 y 1873	0.26149721284764278375542683860869585
1,92878 00... ^{Mw 121}	Constante de Wright¹⁵³		${\omega }$	$\left\lfloor 2^{2^{2^{\cdot ^{\cdot ^{2^{\omega }}}}}}\right\rfloor$ = primos: $\quad$ $\left\lfloor 2^{\omega }\right\rfloor$ =3, $\left\lfloor 2^{2^{\omega }}\right\rfloor$ =13, $\left\lfloor 2^{2^{2^{\omega }}}\right\rfloor$ =16381, $\dots$			A086238	[1; 1, 13, 24, 2, 1, 1, 3, 1, 1, 3]		1.9287800..
0,37395 58136 19202 28805 ^{Mw 122}	Constante de Artin ¹⁵⁴		${C}_{Artin}$	$\prod _{n=1}^{\infty }\left(1-{\frac {1}{p_{n}(p_{n}-1)}}\right)\quad p_{n}\scriptstyle {\text{ = primos}}$	Prod[n=1 to ∞] {1-1/(prime(n) (prime(n)-1))}		A005596	[0;2,1,2,14,1,1,2,3,5,1,3,1,5,1,1,2,3,5,46,...]	1999	0.37395581361920228805472805434641641
4,66920 16091 02990 67185 ^{Mw 123}	Constante δ de Feigenbaum δ ¹⁵⁵		${\delta }$	$\lim _{n\to \infty }{\frac {x_{n+1}-x_{n}}{x_{n+2}-x_{n+1}}}\qquad \scriptstyle x\in (3,8284;\,3,8495)$ $\scriptstyle x_{n+1}=\,ax_{n}(1-x_{n})\quad {o}\quad x_{n+1}=\,a\sin(x_{n})$			A006890	[4;1,2,43,2,163,2,3,1,1,2,5,1,2,3,80,2,5,...]	1975	4.66920160910299067185320382046620161
2,50290 78750 95892 82228 ^{Mw 124}	Constante α de Feigenbaum ¹⁵⁶		$\alpha$	$\lim _{n\to \infty }{\frac {d_{n}}{d_{n+1}}}$			A006891	[2;1,1,85,2,8,1,10,16,3,8,9,2,1,40,1,2,3,...]	1979	2.50290787509589282228390287321821578
5,97798 68121 78349 12266 ^{Mw 125}	Constante hexagonal Madelung ₂ ¹⁵⁷		${H}_{2}(2)$	$\pi \ln(3){\sqrt {3}}$	Pi Log[3]Sqrt[3]		A086055	[5;1,44,2,2,1,15,1,1,12,1,65,11,1,3,1,1,...]		5.97798681217834912266905331933922774
0,96894 61462 59369 38048	Constante Beta(3) ¹⁵⁸		${\beta }(3)$	${\frac {\pi ^{3}}{32}}=\sum _{n=1}^{\infty }{\frac {-1^{n+1}}{(-1+2n)^{3}}}={\frac {1}{1^{3}}}{-}{\frac {1}{3^{3}}}{+}{\frac {1}{5^{3}}}{-}{\frac {1}{7^{3}}}{+}...$	Sum[n=1 to ∞] {(-1)^(n+1) /(-1+2n)^3}	T	A153071	[0;1,31,4,1,18,21,1,1,2,1,2,1,3,6,3,28,1,...]		0.96894614625936938048363484584691860
1,90216 05831 04 ^{Mw 126}	Constante de Brun ₂ = Σ inverso primos gemelos ¹⁵⁹		${B}_{\,2}$	$\textstyle {\underset {p,\,p+2:\,{primos}}{\sum ({\frac {1}{p}}+{\frac {1}{p+2}})}}=({\frac {1}{3}}{+}{\frac {1}{5}})+({\tfrac {1}{5}}{+}{\tfrac {1}{7}})+({\tfrac {1}{11}}{+}{\tfrac {1}{13}})+...$	N[prod[n=2 to 0,870∞] [1-1/(prime(n) -1)^2]]		A065421	[1; 1, 9, 4, 1, 1, 8, 3, 4, 4, 2, 2]	1919	1.902160583104
0,87058 83799 75 ^{Mw 127}	Constante de Brun ₄ = Σ inverso primos gemelos ¹⁶⁰		${B}_{\,4}$	${\underset {p,\,p+2,\,p+6,\,p+8:\,{primos}}{\left({\tfrac {1}{5}}+{\tfrac {1}{7}}+{\tfrac {1}{11}}+{\tfrac {1}{13}}\right)}}+\left({\tfrac {1}{11}}+{\tfrac {1}{13}}+{\tfrac {1}{17}}+{\tfrac {1}{19}}\right)+\dots$			A213007	[0; 1, 6, 1, 2, 1, 2, 956, 3, 1, 1]	1919	0.87058837997
22,45915 77183 61045 47342	pi^e ¹⁶¹		$\pi ^{e}$	$\pi ^{e}$	pi^e		A059850	[22;2,5,1,1,1,1,1,3,2,1,1,3,9,15,25,1,1,5,...]		22.4591577183610454734271522045437350
3,14159 26535 89793 23846 ^{Mw 128}	Número π, constante de Arquímedes ¹⁶²·¹⁶³		${\pi }$	$\lim _{n\to \infty }\,2^{n}\underbrace {\sqrt {2-{\sqrt {2+{\sqrt {2+{\text{...}}+{\sqrt {2}}}}}}}} _{n}$	Sum[n=0 to ∞] {(-1)^n 4/(2n+1)}	T	A000796	[3;7,15,1,292,1,1,1,2,1,3,1,14,2,1,1,2,2,2,...]	-250 ~	3.14159265358979323846264338327950288
0,28878 80950 86602 42127 ^{Mw 129}	Flajolet and Richmond ¹⁶⁴		${Q}$	$\prod _{n=1}^{\infty }\left(1-{\frac {1}{2^{n}}}\right)=\left(1{-}{\frac {1}{2^{1}}}\right)\left(1{-}{\frac {1}{2^{2}}}\right)\left(1{-}{\frac {1}{2^{3}}}\right)...$	prod[n=1 to ∞] {1-1/2^n}		A048651	[0;3,2,6,4,1,2,1,9,2,1,2,3,2,3,5,1,2,1,1,6,1,...]	1992	0.28878809508660242127889972192923078
0,06598 80358 45312 53707 ^{Mw 130}	Límite inferior de Tetración ¹⁶⁵		${e}^{-e}$	$\left({\frac {1}{e}}\right)^{e}$	1/(e^e)		A073230	[0;15,6,2,13,1,3,6,2,1,1,5,1,1,1,9,4,1,1,1,...]		0.06598803584531253707679018759684642
0,31830 98861 83790 67153 ^{Mw 131}	Inverso de Pi, Ramanujan¹⁶⁶		${\frac {1}{\pi }}$	${\frac {2{\sqrt {2}}}{9801}}\sum _{n=0}^{\infty }{\frac {(4n)!\,(1103+26390\;n)}{(n!)^{4}\,396^{4n}}}$	2 sqrt(2)/9801 Sum[n=0 to ∞] {((4n)!/n!^4)(1103+ 26390n)/396^(4n)}	T	A049541	[0;3,7,15,292,1,1,1,2,1,3,1,14,2,1,1,2,2,2,...]		0.31830988618379067153776752674502872
0,63661 97723 67581 34307 ^{Mw 132} ^{Ow 6}	Constante de Buffon¹⁶⁷	Aguja interseca línea	${\frac {2}{\pi }}$	${\frac {\sqrt {2}}{2}}\cdot {\frac {\sqrt {2+{\sqrt {2}}}}{2}}\cdot {\frac {\sqrt {2+{\sqrt {2+{\sqrt {2}}}}}}{2}}\cdots$ Producto de François Viète	2/Pi	T	A060294	[0;1,1,1,3,31,1,145,1,4,2,8,1,6,1,2,3,1,4,...]	1540 a 1603	0.63661977236758134307553505349005745
0,47494 93799 87920 65033 ^{Mw 133}	Constante de Weierstrass ¹⁶⁸		$\sigma ({\tfrac {1}{2}})$	${\frac {e^{\frac {\pi }{8}}{\sqrt {\pi }}}{4*2^{3/4}{({\frac {1}{4}}!)^{2}}}}$	(E^(Pi/8) Sqrt[Pi]) /(4 2^(3/4) (1/4)!^2)		A094692	[0;2,9,2,11,1,6,1,4,6,3,19,9,217,1,2,4,8,6...]	1872 ?	0.47494937998792065033250463632798297
0,57721 56649 01532 86060 ^{Mw 134}	Constante de Euler-Mascheroni¹⁶⁹		${\gamma }$	$\sum _{n=1}^{\infty }\sum _{k=0}^{\infty }{\frac {(-1)^{k}}{2^{n}+k}}\!=\!\sum _{n=1}^{\infty }{\frac {1}{n}}-\ln(n)\!=\!\!\int _{0}^{1}\!\!-\ln(\ln {\frac {1}{x}})\,dx$	sum[n=1 to ∞] \|sum[k=0 to ∞] {((-1)^k)/(2^n+k)}		A001620	[0;1,1,2,1,2,1,4,3,13,5,1,1,8,1,2,4,1,1,40,1,...]	1735	0.57721566490153286060651209008240243
1,70521 11401 05367 76428 ^{Mw 135}	Constante de Niven ¹⁷⁰		${C}$	$1+\sum _{n=2}^{\infty }\left(1-{\frac {1}{\zeta (n)}}\right)$	1+ Sum[n=2 to ∞] {1-(1/Zeta(n))}		A033150	[1;1,2,2,1,1,4,1,1,3,4,4,8,4,1,1,2,1,1,11,1,...]	1969	1.70521114010536776428855145343450816
0,60459 97880 78072 61686 ^{Mw 136}	Relación entre el área de un triángulo equilátero y su círculo inscrito.		${\frac {\pi }{3{\sqrt {3}}}}$	$\sum _{n=1}^{\infty }{\frac {1}{n{2n \choose n}}}=1-{\frac {1}{2}}+{\frac {1}{4}}-{\frac {1}{5}}+{\frac {1}{7}}-{\frac {1}{8}}+\cdots$ Serie de Dirichlet	Sum[1/(n Binomial[2 n, n]) , {n, 1, ∞}]	T	A073010	[0;1,1,1,1,8,10,2,2,3,3,1,9,2,5,4,1,27,27,6,6,...]		0.60459978807807261686469275254738524
3,24697 96037 17467 06105 ^{Mw 137}	Constante Silver de Tutte–Beraha ¹⁷¹		$\varsigma$	$2+2\cos {\frac {2\pi }{7}}=\textstyle 2+{\frac {2+{\sqrt[{3}]{7+7{\sqrt[{3}]{7+7{\sqrt[{3}]{\,7+\cdots }}}}}}}{1+{\sqrt[{3}]{7+7{\sqrt[{3}]{7+7{\sqrt[{3}]{\,7+\cdots }}}}}}}}$	2+2 cos(2Pi/7)	A	A116425	[3;4,20,2,3,1,6,10,5,2,2,1,2,2,1,18,1,1,3,2,...]		3.24697960371746706105000976800847962
0,69314 71805 59945 30941 ^{Mw 138}	Logaritmo natural de 2		$Ln(2)$	$\sum _{n=1}^{\infty }{\frac {1}{n2^{n}}}=\sum _{n=1}^{\infty }{\frac {({-}1)^{n+1}}{n}}={\frac {1}{1}}-{\frac {1}{2}}+{\frac {1}{3}}-{\frac {1}{4}}+{\cdots }$	Sum[n=1 to ∞] {(-1)^(n+1)/n}	T	A002162	[0;1,2,3,1,6,3,1,1,2,1,1,1,1,3,10,1,1,1,2,1,1,...]	1550 a 1617	0.69314718055994530941723212145817657
0,66016 18158 46869 57392 ^{Mw 139}	Constante de los primos gemelos ¹⁷²		${C}_{2}$	$\prod _{p=3}^{\infty }{\frac {p(p-2)}{(p-1)^{2}}}$	prod[p=3 to ∞] {p(p-2)/(p-1)^2		A005597	[0;1,1,1,16,2,2,2,2,1,18,2,2,11,1,1,2,4,1,...]	1922	0.66016181584686957392781211001455577
0,66274 34193 49181 58097 ^{Mw 140}	Constante límite de Laplace¹⁷³		${\lambda }$	${\frac {x\;e^{\sqrt {x^{2}+1}}}{{\sqrt {x^{2}+1}}+1}}=1$	(x e^sqrt(x^2+1)) /(sqrt(x^2+1)+1) = 1		A033259	[0;1,1,1,27,1,1,1,8,2,154,2,4,1,5,1,1,2,1601,...]	1782 ~	0.66274341934918158097474209710925290
0,28016 94990 23869 13303 ^{Mw 141}	Constante de Bernstein¹⁷⁴		${\beta }$	${\frac {1}{2{\sqrt {\pi }}}}$	1/(2 sqrt(pi))	T	A073001	[0;3,1,1,3,9,6,3,1,3,14,34,2,1,1,60,2,2,1,1,...]	1913	0.28016949902386913303643649123067200
0,78343 05107 12134 40705 ^{Mw 142}	Sophomore's Dream ₁ Johann Bernoulli ¹⁷⁵		${I}_{1}$	$\int _{0}^{1}\!x^{-x}\,dx=\sum _{n=1}^{\infty }{\frac {(-1)^{n+1}}{n^{n}}}={\frac {1}{1^{1}}}-{\frac {1}{2^{2}}}+{\frac {1}{3^{3}}}-{\cdots }$	Sum[n=1 to ∞] {-(-1)^n /n^n}		A083648	[0;1,3,1,1,1,1,1,1,2,4,7,2,1,2,1,1,1,2,1,14,...]	1697	0.78343051071213440705926438652697546
1,29128 59970 62663 54040 ^{Mw 143}	Sophomore's Dream ₂Johann Bernoulli¹⁷⁶		${I}_{2}$	$\int _{0}^{1}\!{\frac {1}{x^{x}}}\,dx=\sum _{n=1}^{\infty }{\frac {1}{n^{n}}}={\frac {1}{1^{1}}}+{\frac {1}{2^{2}}}+{\frac {1}{3^{3}}}+{\frac {1}{4^{4}}}+\cdots$	Sum[n=1 to ∞] {1/(n^n)}		A073009	[1;3,2,3,4,3,1,2,1,1,6,7,2,5,3,1,2,1,8,1,2,4,...]	1697	1.29128599706266354040728259059560054
0,82246 70334 24113 21823 ^{Mw 144}	Constante Nielsen-Ramanujan¹⁷⁷		${\frac {{\zeta }(2)}{2}}$	${\frac {\pi ^{2}}{12}}=\sum _{n=1}^{\infty }{\frac {(-1)^{n+1}}{n^{2}}}={\frac {1}{1^{2}}}{-}{\frac {1}{2^{2}}}{+}{\frac {1}{3^{2}}}{-}{\frac {1}{4^{2}}}{+}{\frac {1}{5^{2}}}{-}...$	Sum[n=1 to ∞] {((-1)^(n+1))/n^2}	T	A072691	[0;1,4,1,1,1,2,1,1,1,1,3,2,2,4,1,1,1,1,1,1,4...]	1909	0.82246703342411321823620758332301259
0,78539 81633 97448 30961 ^{Mw 145}	Beta(1) ¹⁷⁸		${\beta }(1)$	${\frac {\pi }{4}}=\sum _{n=0}^{\infty }{\frac {(-1)^{n}}{2n+1}}={\frac {1}{1}}-{\frac {1}{3}}+{\frac {1}{5}}-{\frac {1}{7}}+{\frac {1}{9}}-\cdots$	Sum[n=0 to ∞] {(-1)^n/(2n+1)}	T	A003881	[0; 1,3,1,1,1,15,2,72,1,9,1,17,1,2,1,5,...]	1805 a 1859	0.78539816339744830961566084581987572
0,91596 55941 77219 01505 ^{Mw 146}	Constante de Catalan¹⁷⁹ ¹⁸⁰ ¹⁸¹		${C}$	$\int _{0}^{1}\!\!\int _{0}^{1}\!\!{\frac {1}{1{+}x^{2}y^{2}}}\,dx\,dy=\!\sum _{n=0}^{\infty }\!{\frac {(-1)^{n}}{(2n{+}1)^{2}}}\!=\!{\frac {1}{1^{2}}}{-}{\frac {1}{3^{2}}}{+}{\cdots }$	Sum[n=0 to ∞] {(-1)^n/(2n+1)^2}	T ?	A006752	[0;1,10,1,8,1,88,4,1,1,7,22,1,2,3,26,1,11,...]	1864	0.91596559417721901505460351493238411
1,05946 30943 59295 26456 ^{Ow 7}	Intervalo entre semitonos de la escala musical ¹⁸² ¹⁸³		${\sqrt[{12}]{2}}$	$\scriptstyle 440\,Hz.\textstyle 2^{\frac {1}{12}}\,2^{\frac {2}{12}}\,2^{\frac {3}{12}}\,2^{\frac {4}{12}}\,2^{\frac {5}{12}}\,2^{\frac {6}{12}}\,2^{\frac {7}{12}}\,2^{\frac {8}{12}}\,2^{\frac {9}{12}}\,2^{\frac {10}{12}}\,2^{\frac {11}{12}}\,2$ $\scriptstyle {\color {white}...\color {black}Do_{1}\;\;Do\#\;\,Re\;\,Re\#\;\,Mi\;\;Fa\;\;Fa\#\;Sol\;\,Sol\#\,La\;\;La\#\;\;Si\;\,Do_{2}}$ $\scriptstyle {\color {white}....\color {black}C_{1}\;\;\;\;C\#\;\;\;\,D\;\;\;D\#\;\;\,E\;\;\;\;\,F\;\;\;\,F\#\;\;\;G\;\;\;\;G\#\;\;\;A\;\;\;\,A\#\;\;\;\,B\;\;\;C_{2}}$	2^(1/12)	A	A010774	[1;16,1,4,2,7,1,1,2,2,7,4,1,2,1,60,1,3,1,2,...]		1.05946309435929526456182529494634170
1,13198 82487 943 ^{Mw 147}	Constante de Viswanath ¹⁸⁴		${C}_{Vi}$	$\lim _{n\to \infty }\|a_{n}\|^{\frac {1}{n}}$ donde a_n = Sucesión de Fibonacci	lim_(n->∞) \|a_n\|^(1/n)	T ?	A078416	[1;7,1,1,2,1,3,2,1,2,1,8,1,5,1,1,1,9,1,...]	1997	1.1319882487943 ...
1,20205 69031 59594 28539 ^{Mw 148}	Constante de Apéry¹⁸⁵		$\zeta (3)$	$\sum _{n=1}^{\infty }{\frac {1}{n^{3}}}={\frac {1}{1^{3}}}+{\frac {1}{2^{3}}}+{\frac {1}{3^{3}}}+{\frac {1}{4^{3}}}+{\frac {1}{5^{3}}}+\cdots =$ ${\frac {1}{2}}\sum _{n=1}^{\infty }{\frac {H_{n}}{n^{2}}}={\frac {1}{2}}\sum _{i=1}^{\infty }\sum _{j=1}^{\infty }{\frac {1}{ij(i{+}j)}}=\!\!\int \limits _{0}^{1}\!\!\int \limits _{0}^{1}\!\!\int \limits _{0}^{1}{\frac {\mathrm {d} x\mathrm {d} y\mathrm {d} z}{1-xyz}}$	Sum[n=1 to ∞] {1/n^3}	I	A010774	[1;4,1,18,1,1,1,4,1,9,9,2,1,1,1,2,7,1,1,7,11,...]	1979	1.20205690315959428539973816151144999
1,22541 67024 65177 64512 ^{Mw 149}	Gamma(3/4) ¹⁸⁶		$\Gamma ({\tfrac {3}{4}})$	$\left(-1+{\frac {3}{4}}\right)!=\left(-{\frac {1}{4}}\right)!$	(-1+3/4)!		A068465	[1;4,2,3,2,2,1,1,1,2,1,4,7,1,171,3,2,3,1,1,8,...]		1.22541670246517764512909830336289053
1,25992 10498 94873 16476 ^{Mw 150}	Raíz cúbica de dos, constante Delian		${\sqrt[{3}]{2}}$	${\sqrt[{3}]{2}}$	2^(1/3)	A	A002580	[1;3,1,5,1,1,4,1,1,8,1,14,1,10,2,1,4,12,2,3,...]		1.25992104989487316476721060727822835
9,86960 44010 89358 61883	Pi al Cuadrado		${\pi }^{2}$	$6\zeta (2)=6\sum _{n=1}^{\infty }{\frac {1}{n^{2}}}={\frac {6}{1^{2}}}+{\frac {6}{2^{2}}}+{\frac {6}{3^{2}}}+{\frac {6}{4^{2}}}+\cdots$	6 Sum[n=1 to ∞] {1/n^2}	T	A002388	[9;1,6,1,2,47,1,8,1,1,2,2,1,1,8,3,1,10,5,...]		9.86960440108935861883449099987615114
1,41421 35623 73095 04880 ^{Mw 151}	Raíz cuadrada de 2, constante de Pitágoras ¹⁸⁷		${\sqrt {2}}$	$\prod _{n=1}^{\infty }1+{\frac {(-1)^{n+1}}{2n-1}}=\left(1{+}{\frac {1}{1}}\right)\left(1{-}{\frac {1}{3}}\right)\left(1{+}{\frac {1}{5}}\right)\cdots$	prod[n=1 to ∞] {1+(-1)^(n+1) /(2n-1)}	A	A002193	[1;2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,...] = [1;2...]	< -800	1.41421356237309504880168872420969808
262 53741 26407 68743 ,99999 99999 99250 073 ^{Mw 152}	Constante de Hermite-Ramanujan ¹⁸⁸		${R}$	$e^{\pi {\sqrt {163}}}$	e^(π sqrt(163))	T	A060295	[262537412640768743;1,1333462407511,1,8,1,1,5,...]	1859	262537412640768743.999999999999250073
0,76159 41559 55764 88811 ^{Mw 153}	Tangente hiperbólica de 1 ¹⁸⁹		${th}\,1$	$-i\tan(i)={\frac {e-{\frac {1}{e}}}{e+{\frac {1}{e}}}}={\frac {e^{2}-1}{e^{2}+1}}$	(e-1/e)/(e+1/e)	T	A073744	[0;1,3,5,7,9,11,13,15,17,19,21,23,25,27,...] = [0;2p+1], p∈ℕ		0.76159415595576488811945828260479359
0,36787 94411 71442 32159 ^{Mw 154}	Inverso del Número e¹⁹⁰		${\frac {1}{e}}$	$\sum _{n=0}^{\infty }{\frac {(-1)^{n}}{n!}}={\frac {1}{0!}}-{\frac {1}{1!}}+{\frac {1}{2!}}-{\frac {1}{3!}}+{\frac {1}{4!}}-{\frac {1}{5!}}+\cdots$	sum[n=2 to ∞] {(-1)^n/n!}	T	A068985	[0;2,1,1,2,1,1,4,1,1,6,1,1,8,1,1,10,1,1,12,...] = [0;2,1,1,2p,1], p∈ℕ	1618	0.36787944117144232159552377016146086
1,53960 07178 39002 03869 ^{Mw 155}	Constante Square Ice de Lieb ¹⁹¹		${W}_{2D}$	$\lim _{n\to \infty }(f(n))^{n^{-2}}=\left({\frac {4}{3}}\right)^{\frac {3}{2}}={\frac {8{\sqrt {3}}}{9}}$	(4/3)^(3/2)	A	A118273	[1;1,1,5,1,4,2,1,6,1,6,1,2,4,1,5,1,1,2,...]	1967	1.53960071783900203869106341467188655
1,23370 05501 36169 82735 ^{Mw 156}	Constante de Favard¹⁹²		${\tfrac {3}{4}}\zeta (2)$	${\frac {\pi ^{2}}{8}}=\sum _{n=0}^{\infty }{\frac {1}{(2n-1)^{2}}}={\frac {1}{1^{2}}}+{\frac {1}{3^{2}}}+{\frac {1}{5^{2}}}+{\frac {1}{7^{2}}}+\cdots$	sum[n=1 to ∞] {1/((2n-1)^2)}	T	A111003	[1;4,3,1,1,2,2,5,1,1,1,1,2,1,2,1,10,4,3,1,1,...]	1902 a 1965	1.23370055013616982735431137498451889
7,38905 60989 30650 22723	Constante cónica de Schwarzschild ¹⁹³		$e^{2}$	$\sum _{n=0}^{\infty }{\frac {2^{n}}{n!}}=1+2+{\frac {2^{2}}{2!}}+{\frac {2^{3}}{3!}}+{\frac {2^{4}}{4!}}+{\frac {2^{5}}{5!}}+...$	Sum[n=0 to ∞] {2^n/n!}	T	A072334	[7;2,1,1,3,18,5,1,1,6,30,8,1,1,9,42,11,1,...] = [7,2,1,1,n,4*n+6,n+2], n = 3, 6, 9, etc.		7.38905609893065022723042746057500781
0,20787 95763 50761 90854 ^{Mw 157}	i^i ¹⁹⁴		${i}^{i}$	$e^{\frac {-\pi }{2}}$	e^(-pi/2)	T	A049006	[0;4,1,4,3,1,1,1,1,1,1,1,1,7,1,20,1,3,6,10,...]	1746	0.20787957635076190854695561983497877
1,44466 78610 09766 13365 ^{Mw 158}	Número de Steiner ¹⁹⁵		${\sqrt[{e}]{e}}$	$e^{1/e}$ Límite superior de Tetración	e^(1/e)		A073229	[1;2,4,55,27,1,1,16,9,3,2,8,3,2,1,1,4,1,9,...]	1796 a 1863	1.44466786100976613365833910859643022
4,53236 01418 27193 80962	Constante de van der Pauw		${\alpha }$	${\frac {\pi }{ln(2)}}={\frac {\sum _{n=0}^{\infty }{\frac {4(-1)^{n}}{2n+1}}}{\sum _{n=1}^{\infty }{\frac {(-1)^{n+1}}{n}}}}={\frac {{\frac {4}{1}}{-}{\frac {4}{3}}{+}{\frac {4}{5}}{-}{\frac {4}{7}}{+}{\frac {4}{9}}-...}{{\frac {1}{1}}{-}{\frac {1}{2}}{+}{\frac {1}{3}}{-}{\frac {1}{4}}{+}{\frac {1}{5}}-...}}$	π/ln(2)		A163973	[4;1,1,7,4,2,3,3,1,4,1,1,4,7,2,3,3,12,2,1,...]		4.53236014182719380962768294571666681
1,57079 63267 94896 61923 ^{Mw 159}	Constante de Favard K1 Producto de Wallis ¹⁹⁶		${\frac {\pi }{2}}$	$\prod _{n=1}^{\infty }\left({\frac {4n^{2}}{4n^{2}-1}}\right)={\frac {2}{1}}\cdot {\frac {2}{3}}\cdot {\frac {4}{3}}\cdot {\frac {4}{5}}\cdot {\frac {6}{5}}\cdot {\frac {6}{7}}\cdot {\frac {8}{7}}\cdot {\frac {8}{9}}\cdots$	Prod[n=1 to ∞] {(4n^2)/(4n^2-1)}		A019669	[1;1,1,3,31,1,145,1,4,2,8,1,6,1,2,3,1,4,1,5,1...]	1655	1.57079632679489661923132169163975144
3,27582 29187 21811 15978 ^{Mw 160}	Constante de Khinchin-Lévy ¹⁹⁷ ·¹⁹⁸		$\gamma$	$e^{\pi ^{2}/(12\ln 2)}$	e^(\pi^2/(12 ln(2))		A086702	[3;3,1,1,1,2,29,1,130,1,12,3,8,2,4,1,3,55,...]	1936	3.27582291872181115978768188245384386
1,61803 39887 49894 84820 ^{Mw 161}	Fi, Número áureo ¹⁹⁹· ²⁰⁰		${\varphi }$	${\frac {1+{\sqrt {5}}}{2}}={\sqrt {1+{\sqrt {1+{\sqrt {1+{\sqrt {1+\cdots }}}}}}}}$	(1+5^(1/2))/2	A	A001622	[0;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,...] = [0;1,...]	-300 ~	1.61803398874989484820458683436563811
1,64493 40668 48226 43647 ^{Mw 162}	Función Zeta (2) de Riemann		${\zeta }(\,2)$	${\frac {\pi ^{2}}{6}}=\sum _{n=1}^{\infty }{\frac {1}{n^{2}}}={\frac {1}{1^{2}}}+{\frac {1}{2^{2}}}+{\frac {1}{3^{2}}}+{\frac {1}{4^{2}}}+\cdots$	Sum[n=1 to ∞] {1/n^2}	T	A013661	[1;1,1,1,4,2,4,7,1,4,2,3,4,10 1,2,1,1,1,15,...]	1826 a 1866	1.64493406684822643647241516664602519
1,73205 08075 68877 29352 ^{Mw 163}	Constante de Theodorus²⁰¹		${\sqrt {3}}$	${\sqrt[{3}]{3\,{\sqrt[{3}]{3\,{\sqrt[{3}]{3\,{\sqrt[{3}]{3\,{\sqrt[{3}]{3\,\cdots }}}}}}}}}}$	(3(3(3(3(3(3(3) ^1/3)^1/3)^1/3) ^1/3)^1/3)^1/3) ^1/3 ...	A	A002194	[1;1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,...] = [1;1,2,...]	-465 a -398	1.73205080756887729352744634150587237
1,75793 27566 18004 53270 ^{Mw 164}	Número de Kasner ²⁰²		${R}$	${\sqrt {1+{\sqrt {2+{\sqrt {3+{\sqrt {4+\cdots }}}}}}}}$			A072449	[1;1,3,7,1,1,1,2,3,1,4,1,1,2,1,2,20,1,2,2,...]	1878 a 1955	1.75793275661800453270881963821813852
2,29558 71493 92638 07403 ^{Mw 165}	Constante universal parabólica ²⁰³		${P}_{\,2}$	$\ln(1+{\sqrt {2}})+{\sqrt {2}}\;=\;\operatorname {arcsinh} (1)+{\sqrt {2}}$	ln(1+sqrt 2)+sqrt 2	T	A103710	[2;3,2,1,1,1,1,3,3,1,1,4,2,3,2,7,1,6,1,8,7,2,1,...]		2.29558714939263807403429804918949038
3,30277 56377 31994 64655 ^{Mw 166}	Número de bronce ²⁰⁴		${\sigma }_{\,Rr}$	${\frac {3+{\sqrt {13}}}{2}}=1+{\sqrt {3+{\sqrt {3+{\sqrt {3+{\sqrt {3+\cdots }}}}}}}}$	(3+sqrt 13)/2	A	A098316	[3;3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,...] = [3;3,...]		3.30277563773199464655961063373524797
2,37313 82208 31250 90564	Constante de Lévy ₂²⁰⁵		$2\,ln\,\gamma$	${\frac {\pi ^{2}}{6ln(2)}}$	Pi^(2)/(6*ln(2))	T	A174606	[2;2,1,2,8,57,9,32,1,1,2,1,2,1,2,1,2,1,3,2,...]	1936	2.37313822083125090564344595189447424
2,50662 82746 31000 50241	Raíz cuadrada de 2 pi		${\sqrt {2\pi }}$	${\sqrt {2\pi }}=\lim _{n\to \infty }{\frac {n!\;e^{n}}{n^{n}{\sqrt {n}}}}{\color {white}....\color {black}}$ Fórmula de Stirling	sqrt (2*pi)	T	A019727	[2;1,1,37,4,1,1,1,1,9,1,1,2,8,6,1,2,2,1,3,...]	1692 a 1770	2.50662827463100050241576528481104525
2,66514 41426 90225 18865 ^{Mw 167}	Constante de Gelfond-Schneider ²⁰⁶		$G_{\,GS}$	$2^{\sqrt {2}}$	2^sqrt{2}	T	A007507	[2;1,1,1,72,3,4,1,3,2,1,1,1,14,1,2,1,1,3,1,...]	1934	2.66514414269022518865029724987313985
2,68545 20010 65306 44530 ^{Mw 168}	Constante de Khinchin²⁰⁷		$K_{\,0}$	$\prod _{n=1}^{\infty }\left[{1{+}{1 \over n(n{+}2)}}\right]^{\frac {\ln n}{\ln 2}}=\lim _{n\to \infty }\left(\prod _{k=1}^{n}a_{k}\right)^{\frac {1}{n}}$ ... donde a_k son elementos de la fracción continua [a₀; a₁, a₂, a₃, ...]	prod[n=1 to ∞] {(1+1/(n(n+2))) ^((ln(n)/ln(2))}	T	A002210	[2;1,2,5,1,1,2,1,1,3,10,2,1,3,2,24,1,3,2,...]	1934	2.68545200106530644530971483548179569
3,35988 56662 43177 55317 ^{Mw 169}	Constante de Prévost, sum. inversos de Fibonacci ²⁰⁸		$\Psi$	$\sum _{n=1}^{\infty }{\frac {1}{F_{n}}}={\frac {1}{1}}+{\frac {1}{1}}+{\frac {1}{2}}+{\frac {1}{3}}+{\frac {1}{5}}+{\frac {1}{8}}+{\frac {1}{13}}+\cdots$		I	A079586	[3;2,1,3,1,1,13,2,3,3,2,1,1,6,3,2,4,362,...]	1977	3.35988566624317755317201130291892717
1,32471 79572 44746 02596 ^{Mw 170}	Número plástico ²⁰⁹		${\rho }$	$\textstyle {\sqrt[{3}]{1{+}{\sqrt[{3}]{1{+}{\sqrt[{3}]{1{+}\cdots }}}}}}={\sqrt[{3}]{{\frac {1}{2}}+{\frac {1}{6}}{\sqrt {\frac {23}{3}}}}}+{\sqrt[{3}]{{\frac {1}{2}}-{\frac {1}{6}}{\sqrt {\frac {23}{3}}}}}$		A	A060006	[1;3,12,1,1,3,2,3,2,4,2,141,80,2,5,1,2,8,...]	1929	1.32471795724474602596090885447809734
4,13273 13541 22492 93846	Raíz de 2 e pi		${\sqrt {2e\pi }}$	${\sqrt {2e\pi }}$	sqrt(2e pi)		A019633	[4;7,1,1,6,1,5,1,1,1,8,3,1,2,2,15,2,1,1,2,4,...]		4.13273135412249293846939188429985264
2,66514 41426 90225 18865 ^{Mw 171}	Constante de Gelfond²¹⁰		${e}^{\pi }$	$(-1)^{-i}=i^{-2i}=\sum _{n=0}^{\infty }{\frac {\pi ^{n}}{n!}}={\frac {\pi ^{1}}{1}}+{\frac {\pi ^{2}}{2!}}+{\frac {\pi ^{3}}{3!}}+\cdots$	Sum[n=0 to ∞] {(pi^n)/n!}	T	A039661	[23;7,9,3,1,1,591,2,9,1,2,34,1,16,1,30,1,...]	1906 a 1968	23.1406926327792690057290863679485474

Tabla de constantes matemáticas[editar]

Abreviaciones usadas:

0	0	cero	R	-	-
1	1	uno	R	-	-
2	2	dos	R	-	-
0	1- ∞(e^ipi2n÷x^½)= 0	se cumple ∀ n ≥1 y ∀ x ≥1. ∞ indica la tetración infinita de la forma encerrada	R	-	2013
$\pi \,$	3,14159 26535 89793 23846 26433 83279 50288 41971	Pi, constante de Arquímedes o número de Ludolph	T	10.000.000.000.050²¹¹	22/10/2011
$e=\lim _{n\to \infty }\left(1+{\frac {1}{n}}\right)^{n}$	2,71828 18284 59045 23536 02874 71352 66249 77572	Constante de Napier, base del logaritmo natural	T	1.000.000.000.000²¹²²¹³	2010
${\sqrt {2}}$	1,41421 35623 73095 04880 16887 24209 69807 85696	Raíz cuadrada de dos, constante de Pitágoras.	I	1.000.000.000.000²¹³	2010
${\sqrt {3}}$	1,73205 08075 68877 29352 74463 41505 87236 69428	Raíz cuadrada de tres	I	10.000.000
${\sqrt {5}}$	2,23606 79774 99789 69640 91736 68731 27623 54406	Raíz cuadrada de cinco	I	10.000.000²¹⁴	20/12/1999
$\phi ,\tau ={\frac {1+{\sqrt {5}}}{2}}$	1,61803 39887 49894 84820 45868 34365 63811 77203	Número áureo, simbolizado tanto como φ como por τ.	I	1.000.000.000.000²¹³	2010
$\gamma =\lim _{n\rightarrow \infty }\left[\sum _{k=1}^{n}{\frac {1}{k}}-\ln(n)\right]$	0,57721 56649 01532 86060 65120 90082 40243 10421	Constante de Euler-Mascheroni	?	29.844.489.545²¹³	2009
$\alpha \,$	-2,50290 78750 95892 82228 39028 73218 21578 63812	Constante α de Feigenbaum		1018²¹⁵	1999
$\delta \,$	4,66920 16091 02990 67185 32038 20466 20161 72581	Constante δ de Feigenbaum		1018²¹⁵	1999
$C_{artin}=\prod _{p\,primo}\left(1-{\frac {1}{p(p-1)}}\right)$	0,37395 58136 19202 28805 47280 54346 41641 51116	Constante de Artin		1000²¹³	1999
$C_{2}=\prod _{p\geq 3}{\frac {p(p-2)}{(p-1)^{2}}}$	0,66016 18158 46869 57392 78121 10014 55577 84326	Constante de los primos gemelos		5.020²¹³	2001
$B_{2}\,$	1,90216 0582	Constante de Brun para los primos gemelos		9²¹³	1999 / 2002