Constante matemática | número, que tiene un significado especial para los cálculos

Una constante matemática es un número que tiene un significado especial para los cálculos. Por ejemplo, la constante π (que se pronuncia "pastel") significa la relación entre la circunferencia de un círculo y su diámetro. Este valor es siempre el mismo para cualquier círculo. Una constante matemática suele ser un número real, no integral, de interés.

A diferencia de las constantes físicas, las constantes matemáticas no proceden de mediciones físicas.

Constantes matemáticas clave

La siguiente tabla contiene algunas constantes matemáticas importantes:

Nombre	Símbolo	Valor	Significado
Pi, la constante de Arquímedes o el número de Ludoph	π	≈3.141592653589793	Número trascendental que es la relación entre la longitud de la circunferencia de un círculo y su diámetro. También es el área del círculo unitario.
E, la constante de Napier o el número de Euler (pronunciado "oilers")	e	≈2.718281828459045	Un número trascendental que es la base de los logaritmos naturales, a veces llamado "número natural".
Relación áurea	φ	5 + 1 2 ≈ 1,618 {\displaystyle {\frac {{sqrt {5}}+1}{2}}approx 1,618} ${\frac {{\sqrt {5}}+1}{2}}\approx 1.618$	Es el valor de un valor mayor dividido por un valor menor si éste es igual al valor de la suma de los valores dividido por el valor mayor.
Raíz cuadrada de 2, constante de Pitágoras	2 {\displaystyle {\sqrt {2}} ${\sqrt {2}}$	≈ 1.414 {\a6) $\approx 1.414$	Un número irracional que es la longitud de la diagonal de un cuadrado con lados de longitud 1. Este número no se puede escribir como una fracción.

Constantes y series

La siguiente tabla contiene una lista de constantes y series en matemáticas, con las siguientes columnas:

Valor: Valor numérico de la constante.
LaTeX: Fórmula o serie en formato TeX.
Fórmula: Para su uso en programas como Mathematica o Wolfram Alpha.
OEIS: Enlace a la Enciclopedia en línea de secuencias de números enteros (OEIS), donde están disponibles las constantes con más detalles.
Fracción continua: En la forma simple [al entero; frac1, frac2, frac3, ...] (entre paréntesis si es periódica)
Tipo:

R - Número racional
I - Número irracional
T - Número trascendental
C - Número complejo

Tenga en cuenta que la lista puede ordenarse correspondientemente haciendo clic en el título de la cabecera en la parte superior de la tabla.

Valor	Nombre	Símbolo	LaTeX	Fórmula	Tipo	OEIS	Fracción continua
3.24697960371746706105000976800847962	Plata, Tutte-Beraha constante	ς {\displaystyle \varsigma } $\varsigma$	2 + 2 cos ( 2 π / 7 ) = 2 + 2 + 7 + 7 7 + ⋯ 3 3 3 1 + 7 + 7 7 + 7 7 + ⋯ 3 3 3 {\displaystyle 2+2\cos(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 }}}}}}}}} $2+2\cos(2\pi /7)=\textstyle 2+{\frac {2+{\sqrt[{3}]{7+7{\sqrt[{3}]{7+7{\sqrt[{3}]{\,7+\cdots }}}}}}}{1+{\sqrt[{3}]{7+7{\sqrt[{3}]{7+7{\sqrt[{3}]{\,7+\cdots }}}}}}}}$	2+2 cos(2Pi/7)	T	A116425	[3;4,20,2,3,1,6,10,5,2,2,1,2,2,1,18,1,1,3,2,...]
1.09864196439415648573466891734359621	Constante de París	C P a {\displaystyle C_{Pa}} $C_{Pa}$	∏ n = 2 ∞ 2 φ φ + φ n , φ = F i {\displaystyle \prod _{n=2}^{infty }{frac {2\varphi }{varphi +\varphi _{n}};,\varphi ={Fi}}. $\prod _{n=2}^{\infty }{\frac {2\varphi }{\varphi +\varphi _{n}}}\;,\varphi ={Fi}$		I	A105415	[1;10,7,3,1,3,1,5,1,4,2,7,1,2,3,22,1,2,5,2,1,...]
2.74723827493230433305746518613420282	El radical anidado de Ramanujan R₅	R 5 {\displaystyle R_{5}} $R_{5}$	5 + 5 + 5 - 5 + 5 + 5 - ⋯ = 2 + 5 + 15 - 6 5 2 {\displaystyle \scriptstyle {\sqrt {5+{sqrt}{5+{sqrt}{5-{sqrt}{5+{sqrt}{5+{sqrt}{5+{sqrt}{5-{sqrt}{5}{sqrt}{5}{sqrt}{sqrt}{5}};=textstyle {\frac {2+{sqrt {5}}+{sqrt {15-6{sqrt {5}}}}}{2}} $\scriptstyle {\sqrt {5+{\sqrt {5+{\sqrt {5-{\sqrt {5+{\sqrt {5+{\sqrt {5+{\sqrt {5-\cdots }}}}}}}}}}}}}}\;=\textstyle {\frac {2+{\sqrt {5}}+{\sqrt {15-6{\sqrt {5}}}}}{2}}$	(2+sqrt(5)+sqrt(15-6 sqrt(5)))/2	I		[2;1,2,1,21,1,7,2,1,1,2,1,2,1,17,4,4,1,1,4,2,...]
2.23606797749978969640917366873127624	Raíz cuadrada de 5, suma de Gauss	5 {\displaystyle {\sqrt {5}} ${\sqrt {5}}$	∀ n = 5 , ∑ k = 0 n - 1 e 2 k 2 π i n = 1 + e 2 π i 5 + e 8 π i 5 + e 18 π i 5 + e 32 π i 5 {\displaystyle \scriptstyle \forall \,n=5,\displaystyle \\\\Nsuma _{k=0}^{n-1}e^{\\Nfrac {2k^{2}\pi i}{n}=1+e^{\frac {2\pi i}{5}+e^{\\Nfrac {8\pi i}{5}+e^{\Nfrac {18\pi i}{5}+e^{\Nfrac {32\pi i}{5}} $\scriptstyle \forall \,n=5,\displaystyle \sum _{k=0}^{n-1}e^{\frac {2k^{2}\pi i}{n}}=1+e^{\frac {2\pi i}{5}}+e^{\frac {8\pi i}{5}}+e^{\frac {18\pi i}{5}}+e^{\frac {32\pi i}{5}}$	Sum[k=0 a 4]{e^(2k^2 pi i/5)}	I	A002163	[2;4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,...] = [2;(4),...]
3.62560990822190831193068515586767200	Gamma(1/4)	Γ ( 1 4 ) {\displaystyle \Gamma ({\tfrac {1}{4}})} $\Gamma ({\tfrac {1}{4}})$	¡4 ( 1 4 ) ! ¡= ( - 3 4 ) ! {\displaystyle 4\\a izquierda({\frac {1}{4}{directo)!=\a izquierda(-{\frac {3}{4}{directo)!} $4\left({\frac {1}{4}}\right)!=\left(-{\frac {3}{4}}\right)!$	¡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,...]
0.18785964246206712024851793405427323	MRB constante, Marvin Ray Burns	C M R B {\displaystyle C_{MRB}} $C_{_{MRB}}$	∑ n = 1 ∞ ( - 1 ) n ( n 1 / n - 1 ) = - 1 1 + 2 2 - 3 3 + 4 4 ... {{displaystyle \\\}suma _{n=1}^{infty }({-}1)^{n}(n^{1/n}{-}1)=-{{sqrt[{1}]{1}+{{sqrt[{2}]{2}}+{{sqrt[{3}]{3}}+{{sqrt[{4}]{4}{,\dots } $\sum _{n=1}^{\infty }({-}1)^{n}(n^{1/n}{-}1)=-{\sqrt[{1}]{1}}+{\sqrt[{2}]{2}}-{\sqrt[{3}]{3}}+{\sqrt[{4}]{4}}\,\dots$	Sum[n=1 a ∞]{(-1)^n (n^(1/n)-1)}	T	A037077	[0;5,3,10,1,1,4,1,1,1,1,9,1,1,12,2,17,2,2,1,...]
0.11494204485329620070104015746959874	Constante de Kepler-Bouwkamp	ρ {\displaystyle {\rho }} ${\rho }$	∏ n = 3 ∞ cos ( π n ) = cos ( π 3 ) cos ( π 4 ) cos ( π 5 ) ... {\displaystyle \\\n=3}^{{infty }\cos \left({\frac {\pi }{n}}right)=\cos \left({\frac {\pi }{3}{right)\ncos \left({\frac {\pi }{4}{right)\ncos \left({\frac {\pi }{5}{right)\n} $\prod _{n=3}^{\infty }\cos \left({\frac {\pi }{n}}\right)=\cos \left({\frac {\pi }{3}}\right)\cos \left({\frac {\pi }{4}}\right)\cos \left({\frac {\pi }{5}}\right)\dots$	prod[n=3 a ∞]{cos(pi/n)}	T	A085365	[0;8,1,2,2,1,272,2,1,41,6,1,3,1,1,26,4,1,1,...]
1.78107241799019798523650410310717954	Función Exp(gamma) G-Barnes	e γ {\displaystyle e^{\gamma }} $e^{\gamma }$	∏ n = 1 ∞ e 1 n 1 + 1 n = ∏ n = 0 ∞ ( ∏ k = 0 n ( k + 1 ) ( - 1 ) k + 1 ( n k ) ) 1 n + 1 = {\displaystyle \{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 \\\_}right)^{{frac {1}{n+1}=} $\prod _{n=1}^{\infty }{\frac {e^{\frac {1}{n}}}{1+{\tfrac {1}{n}}}}=\prod _{n=0}^{\infty }\left(\prod _{k=0}^{n}(k+1)^{(-1)^{k+1}{n \choose k}}\right)^{\frac {1}{n+1}}=$ ( 2 1 ) 1 / 2 ( 2 2 1 ⋅ 3 ) 1 / 3 ( 2 3 ⋅ 4 1 ⋅ 3 3 ) 1 / 4 ( 2 4 ⋅ 4 4 1 ⋅ 3 6 ⋅ 5 ) 1 / 5 ... {\displaystyle \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}} {directo)^{1/4} {puntos a la izquierda({frac {2^{4}{cdot 4^{4}{1\cdot 3^{6}{cdot 5}} {directo)^{1/5} $\textstyle \left({\frac {2}{1}}\right)^{1/2}\left({\frac {2^{2}}{1\cdot 3}}\right)^{1/3}\left({\frac {2^{3}\cdot 4}{1\cdot 3^{3}}}\right)^{1/4}\left({\frac {2^{4}\cdot 4^{4}}{1\cdot 3^{6}\cdot 5}}\right)^{1/5}\dots$	Prod[n=1 a ∞]{e^(1/n)}/{1 + 1/n}	T	A073004	[1;1,3,1,1,3,5,4,1,1,2,2,1,7,9,1,16,1,1,1,2,...]
1.28242712910062263687534256886979172	Constante de Glaisher-Kinkelin	A {\displaystyle {A}} ${A}$	e 1 12 - ζ ′ ( - 1 ) = e 1 8 - 1 2 ∑ n = 0 ∞ 1 n + 1 ∑ k = 0 n ( - 1 ) k ( n k ) ( k + 1 ) 2 ln ( k + 1 ) {\displaystyle e^{{frac {1}{12}}-\zeta ^{{prime }(- 1)1)}=e^{{frac {1}{8}}-{{frac {1}{2}}suma \Nde los límites _{n=0}^{infty}}{{frac {1}{n+1}}suma \Nde los límites _{k=0}^{n}{izquierda(-1\a la derecha)^{k}{binom {n}{k}{izquierda(k+1\a la derecha)^{2}{ln(k+1)}} $e^{{\frac {1}{12}}-\zeta ^{\prime }(-1)}=e^{{\frac {1}{8}}-{\frac {1}{2}}\sum \limits _{n=0}^{\infty }{\frac {1}{n+1}}\sum \limits _{k=0}^{n}\left(-1\right)^{k}{\binom {n}{k}}\left(k+1\right)^{2}\ln(k+1)}$	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,...]
7.38905609893065022723042746057500781	Constante cónica de Schwarzschild	e 2 {\displaystyle e^{2}} $e^{2}$	¡∑ n = 0 ∞ 2 n n ! ¡= 1 + 2 + 2 2 2 ! ¡+ 2 3 3 ! ¡+ 2 4 4 ! ¡+ 2 5 5 ! + ... {\displaystyle \ {{n=0}^{infty }{{2^{n}{n!}}=1+2+{frac {2^{2}{2!}}+{frac {2^{3}{3!}}+{frac {2^{4}{4!}+{frac {2^{5}{5!}}+{puntos} $\sum _{n=0}^{\infty }{\frac {2^{n}}{n!}}=1+2+{\frac {2^{2}}{2!}}+{\frac {2^{3}}{3!}}+{\frac {2^{4}}{4!}}+{\frac {2^{5}}{5!}}+\dots$	Suma[n=0 a ∞]{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.
1.01494160640965362502120255427452028	Constante de Gieseking	G G i {\displaystyle {G_{Gi}} ${G_{Gi}}$	3 3 4 ( 1 - ∑ n = 0 ∞ 1 ( 3 n + 2 ) 2 + ∑ n = 1 ∞ 1 ( 3 n + 1 ) 2 ) = {\displaystyle {\frac {3{cuadro {3}}{4}\left(1-)\\N - suma _{n=0}^{infty }{frac {1}(3n+2)^{2}}+{suma _{n=1}^{infty }{frac {1}(3n+1)^{2}} {directo)=} ${\frac {3{\sqrt {3}}}{4}}\left(1-\sum _{n=0}^{\infty }{\frac {1}{(3n+2)^{2}}}+\sum _{n=1}^{\infty }{\frac {1}{(3n+1)^{2}}}\right)=$ 3 3 4 ( 1 - 1 2 2 + 1 4 2 - 1 5 2 + 1 7 2 - 1 8 2 + 1 10 2 ± ... ) {\displaystyle \textstyle {\frac {3{sqrt {3}}{4}left(1-{frac {1}{2^{2}}+{frac {1}{4^{2}}-{frac {1}{5^{2}}+{frac {1}{8^{2}}+{frac {1}{10^{2}}pm \dots \right)} $\textstyle {\frac {3{\sqrt {3}}}{4}}\left(1-{\frac {1}{2^{2}}}+{\frac {1}{4^{2}}}-{\frac {1}{5^{2}}}+{\frac {1}{7^{2}}}-{\frac {1}{8^{2}}}+{\frac {1}{10^{2}}}\pm \dots \right)$ .		T	A143298	[1;66,1,12,1,2,1,4,2,1,3,3,1,4,1,56,2,2,11,...]
2.62205755429211981046483958989111941	Lemniscata constante	ϖ {\displaystyle {\varpi }} ${\varpi }$	π G = 4 2 π ( 1 4 ! ) 2 {\displaystyle \pi \\\},{G}=4{{sqrt {\tfrac {2}{\pi }},({\tfrac {1}{4}})^{2}} $\pi \,{G}=4{\sqrt {\tfrac {2}{\pi }}}\,({\tfrac {1}{4}}!)^{2}$	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,...]
0.83462684167407318628142973279904680	Constante de Gauss	G {\displaystyle {G}} ${G}$	¡1 a g m ( 1 , 2 ) = 4 2 ( 1 4 ! ) 2 π 3 / 2 A g m : A r i t h m e t i c - g e o m e t r i c m e n t e {{displaystyle}} {{Agm:\};Aritmética-geométrica{{};media}{{frac {1}{mathrm {agm} (1,{\sqrt {2})}}={{frac {4{sqrt {2}},({\tfrac {1}{4}}!)^{2}}{pi ^{3/2}}}}}} ${\underset {Agm:\;Arithmetic-geometric\;mean}{{\frac {1}{\mathrm {agm} (1,{\sqrt {2}})}}={\frac {4{\sqrt {2}}\,({\tfrac {1}{4}}!)^{2}}{\pi ^{3/2}}}}}$	(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,...]
1.01734306198444913971451792979092052	Zeta(6)	ζ ( 6 ) {\a6) $\zeta (6)$	π 6 945 = ∏ n = 1 ∞ 1 1 - p n - 6 p n : p r i m o = 1 1 - 2 - 6 ⋅ 1 1 - 3 - 6 ⋅ 1 1 - 5 - 6 . . . {\displaystyle {\frac {\pi ^{6}}{945}=\prod _{n=1}^{{infty}}{{p_{n}}:\{{primo}} {{frac}{1}{p_{n}^-6}}={{frac}{1{-}2^{-6}} {{cdot}} {{frac}{1}{-}3^{-6}} {{cdot}} {{1}{-}5^{-6}}...} ${\frac {\pi ^{6}}{945}}=\prod _{n=1}^{\infty }{\underset {p_{n}:\,{primo}}{\frac {1}{{1-p_{n}}^{-6}}}}={\frac {1}{1{-}2^{-6}}}{\cdot }{\frac {1}{1{-}3^{-6}}}{\cdot }{\frac {1}{1{-}5^{-6}}}...$	Prod[n=1 a ∞] {1/(1-ésimo(n)^-6)}	T	A013664	[1;57,1,1,1,15,1,6,3,61,1,5,3,1,6,1,3,3,6,1,...]
0,60792710185402662866327677925836583	Constante de Hafner-Sarnak-McCurley	1 ζ ( 2 ) {\displaystyle {\frac {1}{zeta (2)}} ${\frac {1}{\zeta (2)}}$	6 π 2 = ∏ n = 0 ∞ ( 1 - 1 p n 2 ) p n : p r i m o = ( 1 - 1 2 2 ) ( 1 - 1 3 2 ) ( 1 - 1 5 2 ) ... {\displaystyle {\frac {6}{pi ^{2}}=}prod _{n=0}^{\infty }{{p_{n}}:\{{primo}} {Izquierda(1-{frac {1}{p_{n}^2}}Derecha)}}=}textstyle {Izquierda(1{-}{frac {1}{2^2}}Derecha)}{Izquierda(1{-}{frac {1}{3^{2}}Derecha)}{{{puntos}}} ${\frac {6}{\pi ^{2}}}{=}\prod _{n=0}^{\infty }{\underset {p_{n}:\,{primo}}{\left(1-{\frac {1}{{p_{n}}^{2}}}\right)}}{=}\textstyle \left(1{-}{\frac {1}{2^{2}}}\right)\left(1{-}{\frac {1}{3^{2}}}\right)\left(1{-}{\frac {1}{5^{2}}}\right)\dots$	Prod{n=1 a ∞} (1-1/ithprime(n)^2)	T	A059956	[0;1,1,1,1,4,2,4,7,1,4,2,3,4,10,1,2,1,1,1,...]
1.11072073453959156175397024751517342	La relación entre un cuadrado y los círculos circunscritos o inscritos	π 2 2 {\displaystyle {\frac {\pi }{2{sqrt {2}}}}} ${\frac {\pi }{2{\sqrt {2}}}}$	∑ n = 1 ∞ ( - 1 ) ⌊ n - 1 2 ⌋ 2 n + 1 = 1 1 + 1 3 - 1 5 - 1 7 + 1 9 + 1 11 - ... {\displaystyle \\\Nsum _{n=1}^{infty }{{{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}{puntos}} $\sum _{n=1}^{\infty }{\frac {(-1)^{\lfloor {\frac {n-1}{2}}\rfloor }}{2n+1}}={\frac {1}{1}}+{\frac {1}{3}}-{\frac {1}{5}}-{\frac {1}{7}}+{\frac {1}{9}}+{\frac {1}{11}}-\dots$	suma[n=1 a ∞]{(-1)^(piso((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,...]
2.80777024202851936522150118655777293	Constante Fransén-Robinson	F {\displaystyle {F}} ${F}$	∫ 0 ∞ 1 Γ ( x ) d x . = e + ∫ 0 ∞ e - x π 2 + ln 2 x d x {\displaystyle \int _{0^{infty }{frac {1}{Gamma (x)}},dx.=e+int _{0}^{infty }{frac {e^{x}}{pi ^{2}+\ln ^{2}}x},dx} $\int _{0}^{\infty }{\frac {1}{\Gamma (x)}}\,dx.=e+\int _{0}^{\infty }{\frac {e^{-x}}{\pi ^{2}+\ln ^{2}x}}\,dx$	N[int[0 a ∞] {1/Gamma(x)}]	T	A058655	[2;1,4,4,1,18,5,1,3,4,1,5,3,6,1,1,1,5,1,1,1...]
1.64872127070012814684865078781416357	Raíz cuadrada del número e	e {\displaystyle {\sqrt {e}} ${\sqrt {e}}$	¡∑ n = 0 ∞ 1 2 n n ! ¡= ∑ n = 0 ∞ 1 ( 2 n ) ! ¡! = 1 1 + 1 2 + 1 8 + 1 48 + ⋯ {\displaystyle \\\Nsum _{n=0}^{{infty }{1}{2^{n}n!}}={sum _{n=0}^{{infty }{{1}{(2n)!!}}={{frac {1}{1}}+{frac {1}{2}}+{frac {1}{8}}+{frac {1}{48}}+\cdots } $\sum _{n=0}^{\infty }{\frac {1}{2^{n}n!}}=\sum _{n=0}^{\infty }{\frac {1}{(2n)!!}}={\frac {1}{1}}+{\frac {1}{2}}+{\frac {1}{8}}+{\frac {1}{48}}+\cdots$	suma[n=0 a ∞]{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
i	Número imaginario	i {\displaystyle {i} ${i}$	- 1 = ln ( - 1 ) π e i π = - 1 {\displaystyle {\sqrt {-1}}={frac {\ln(-1)}{\pi }}qquad \qquad \mathrm {e}} ^{i,\pi }=-1} ${\sqrt {-1}}={\frac {\ln(-1)}{\pi }}\qquad \qquad \mathrm {e} ^{i\,\pi }=-1$	sqrt(-1)	C
262537412640768743.999999999999250073	Constante de Hermite-Ramanujan	R {\displaystyle {R}} ${R}$	e π 163 {\displaystyle e^{pi {\sqrt {163}}}} $e^{\pi {\sqrt {163}}}$	e^(π sqrt(163))	T	A060295	[262537412640768743;1,1333462407511,1,8,1,1,5,...]
4.81047738096535165547303566670383313	Juan constante	γ {\año de la pantalla \año de la pantalla \año \año} $\gamma$	i i = i - i = i 1 i = ( i i ) - 1 = e π 2 {\displaystyle {\sqrt[{i}]{i}=i^{i}=i^{\frac {1}{i}=(i^{i})^{-1}=e^{\frac {\pi }{2}} ${\sqrt[{i}]{i}}=i^{-i}=i^{\frac {1}{i}}=(i^{i})^{-1}=e^{\frac {\pi }{2}}$	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,...]
4.53236014182719380962768294571666681	Constante de Van der Pauw	α {\año de la pantalla \año de la pantalla \año de la pantalla \año} $\alpha$	π l n ( 2 ) = ∑ n = 0 ∞ 4 ( - 1 ) n 2 n + 1 ∑ n = 1 ∞ ( - 1 ) n + 1 n = 4 1 - 4 3 + 4 5 - 4 7 + 4 9 - ... 1 1 - 1 2 + 1 3 - 1 4 + 1 5 - ... {\frac {\pi }{ln(2)}}={frac {{suma _{n=0}^{infty}}{{frac {4(-1)^{n}}{2n+1}}{{suma _{n=1}^{infty}}{(-1)^{n+1}{n}}}}={frac {{4}{1}{-{{frac {4}{3}{+}{frac {4}{5}{-}{frac {4}{7}{+}{frac {4}{9}}-puntos}{frac {1}{1}{-}{frac {1}{2}{+}{frac {1}{3}{-}{frac {1}{4}{+}{puntos}} ${\frac {\pi }{ln(2)}}={\frac {\sum _{n=0}^{\infty }{\frac {4(-1)^{n}}{2n+1}}}{\sum _{n=1}^{\infty }{\frac {(-1)^{n+1}}{n}}}}={\frac {{\frac {4}{1}}{-}{\frac {4}{3}}{+}{\frac {4}{5}}{-}{\frac {4}{7}}{+}{\frac {4}{9}}-\dots }{{\frac {1}{1}}{-}{\frac {1}{2}}{+}{\frac {1}{3}}{-}{\frac {1}{4}}{+}{\frac {1}{5}}-\dots }}$	π/ln(2)	T	A163973	[4;1,1,7,4,2,3,3,1,4,1,1,4,7,2,3,3,12,2,1,...]
0.76159415595576488811945828260479359	Tangente hiperbólica (1)	t h 1 {\diseño de la pantalla th\,1} $th\,1$	e - 1 e e + 1 e = e 2 - 1 e 2 + 1 {\displaystyle {\frac {e-{\frac {1}{e}}{e+{\frac {1}{e}}}}={\frac {e^{2}-1}{e^{2}+1}} ${\frac {e-{\frac {1}{e}}}{e+{\frac {1}{e}}}}={\frac {e^{2}-1}{e^{2}+1}}$	(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
0.69777465796400798200679059255175260	Constante de la fracción continua	C C F {\displaystyle {C}_{CF}} ${C}_{CF}$	J 1 ( 2 ) J 0 ( 2 ) F u n c i ó n J k ( ) B e s e l = ∑ n = 0 ∞ n ! n ! ∑ n = 0 ∞ 1 n ! n ! = 0 1 + 1 1 + 2 4 + 3 36 + 4 576 + ... 1 1 + 1 1 + 1 4 + 1 36 + 1 576 + ... {{displaystyle}} {{conjunto de j_{k}()} {{Bessel}} {{conjunto de funciones}} {{frac {J_{1}(2)}{J_{0}(2)} }}}}={{frac {suma de límites _{n=0}^{{infty}} {{frac {n}{n!¡n!}}{{suma \N de los límites _{n=0}^{{infty}}{{1}{n!n!}}}}={{frac {0}{1}+{frac {1}{1}+{frac {2}{4}+{frac {3}{36}+{frac {4}{576}+puntos}{{frac {1}+{frac {1}{4}+{frac {1}{36}+{puntos}} ${\underset {J_{k}(){Bessel}}{\underset {Function}{\frac {J_{1}(2)}{J_{0}(2)}}}}={\frac {\sum \limits _{n=0}^{\infty }{\frac {n}{n!n!}}}{\sum \limits _{n=0}^{\infty }{\frac {1}{n!n!}}}}={\frac {{\frac {0}{1}}+{\frac {1}{1}}+{\frac {2}{4}}+{\frac {3}{36}}+{\frac {4}{576}}+\dots }{{\frac {1}{1}}+{\frac {1}{1}}+{\frac {1}{4}}+{\frac {1}{36}}+{\frac {1}{576}}+\dots }}$	(suma {n=0 a inf} n/(n!n!)) /(suma {n=0 a inf} 1/(n!n!))		A052119	[0;1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,...] = [0;(p+1)], p∈ℕ
0.36787944117144232159552377016146086	Constante inversa de Napier	1 e {\displaystyle {\frac {1}{e}} ${\frac {1}{e}}$	¡∑ n = 0 ∞ ( - 1 ) n n ! ¡= 1 0 ! - ¡- 1 1 ! ¡+ 1 2 ! - ¡- 1 3 ! ¡+ 1 4 ! - ¡- 1 5 ! + ... {\displaystyle \ {{n=0}^{{infty}}={{1)^{n}} {{n!}}={frac {1}{0!}}-{frac {1}{1!}}+{frac {1}{2!}}-{frac {1}{3!}+{frac {1}{4!}}-{frac {1}{5!}+{puntos}} $\sum _{n=0}^{\infty }{\frac {(-1)^{n}}{n!}}={\frac {1}{0!}}-{\frac {1}{1!}}+{\frac {1}{2!}}-{\frac {1}{3!}}+{\frac {1}{4!}}-{\frac {1}{5!}}+\dots$	suma[n=2 a ∞]{(-1)^n/n!}	T	A068985	[0;2,1,1,2,1,1,4,1,1,6,1,8,1,1,10,1,1,12,...] = [0;2,1,(1,2p,1)], p∈ℕ
2.71828182845904523536028747135266250	Constante de Napier	e {\diseño e} $e$	¡∑ n = 0 ∞ 1 n ! ¡= 1 0 ! ¡+ 1 1 + 1 2 ! ¡+ 1 3 ! ¡+ 1 4 ! ¡+ 1 5 ! + ⋯ {\displaystyle \ {{n=0}^{infty}}={frac {1}{n!}}+{frac {1}{1}+{frac {1}{2!}+{frac {1}{3!}+{frac {1}{4!}+{frac {1}{5!}+{cdots } $\sum _{n=0}^{\infty }{\frac {1}{n!}}={\frac {1}{0!}}+{\frac {1}{1}}+{\frac {1}{2!}}+{\frac {1}{3!}}+{\frac {1}{4!}}+{\frac {1}{5!}}+\cdots$	Suma[n=0 a ∞]{1/n!}	T	A001113	[2;1,2,1,1,4,1,1,6,1,8,1,1,10,1,1,12,1,...] = [2;(1,2p,1)], p∈ℕ
0.49801566811835604271369111746219809 - 0.15494982830181068512495513048388 i	Factorial de i	¡i ! {\a6}Estilo de visualización i\a6} $i\,!$	Γ ( 1 + i ) = i Γ ( i ) {\displaystyle \Gamma (1+i)=i,\Gamma (i)} $\Gamma (1+i)=i\,\Gamma (i)$	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
0.43828293672703211162697516355126482 + 0.36059247187138548595294052690600 i	Infinito Tetralogía de i	∞ i {{displaystyle}}^{{infty}} ${}^{\infty }i$	lim n → ∞ n i = lim n → ∞ i i ⋅ i ⏟ n {\displaystyle \lim _{n a \infty }}^{n}i=lim _{n a \infty }\\\\bcipitaje {i^{cdot ^\cdot ^{i}}}}} _{n}} $\lim _{n\to \infty }{}^{n}i=\lim _{n\to \infty }\underbrace {i^{i^{\cdot ^{\cdot ^{i}}}}} _{n}$	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
0.56755516330695782538461314419245334	Módulo del infinito Tetración de i	\| ∞ i \| {\displaystyle \|{}^{\infty }i\|} $\|{}^{\infty }i\|$	lim n → ∞ \| n i \| = \| lim n → ∞ i i ⋅ ⋅ i ⏟ n \| {\displaystyle \lim _{n\\\a \infty }left\|{^{n}i\a derecha\|=\left\|\lim _{n\a \infty }{underbrace} {i^{{cdot ^{cdot ^{i}}}}} {{n}}Derecha}} $\lim _{n\to \infty }\left\|{}^{n}i\right\|=\left\|\lim _{n\to \infty }\underbrace {i^{i^{\cdot ^{\cdot ^{i}}}}} _{n}\right\|$	Mod(i^i^i^...)		A212479	[0;1,1,3,4,1,58,12,1,51,1,4,12,1,1,2,2,3,...]
0.26149721284764278375542683860869585	Constante de Meissel-Mertens	M {\diseño M} $M$	lim n → ∞ ( ∑ p ≤ n 1 p - ln ( ln ( n ) ) ) {\displaystyle \lim _{n}flecha \infty }left(\sum _{p\leq n}{\frac {1}{p}}-\ln(\ln(n))\right)} $\lim _{n\rightarrow \infty }\left(\sum _{p\leq n}{\frac {1}{p}}-\ln(\ln(n))\right)$ ..... p: primos			A077761	[0;3,1,4,1,2,5,2,1,1,1,1,13,4,2,4,2,1,33,...]
1.9287800...	Constante de Wright	ω {\año de la pantalla \año de la pantalla \año de la pantalla \año \año \año \año} $\omega$	⌊ 2 2 2 ⋅ ⋅ 2 ω ⌋ {\displaystyle \left\lfloor 2^{2^{cdot ^{cdot ^2^{omega }}}}}}\rfloor } $\left\lfloor 2^{2^{2^{\cdot ^{\cdot ^{2^{\omega }}}}}}\right\rfloor$ = primos: $\quad$ ⌊ 2 ω ⌋ {\displaystyle \left\lfloor 2^{\omega }\right\rfloor } $\left\lfloor 2^{\omega }\right\rfloor$ =3, ⌊ 2 2 ω ⌋ {\displaystyle \left\lfloor 2^{2^{\omega }\right\rfloor } $\left\lfloor 2^{2^{\omega }}\right\rfloor$ =13, ⌊ 2 2 2 ω ⌋ {\displaystyle \left\lfloor 2^{2^{\omega }}\right\rfloor } $\left\lfloor 2^{2^{2^{\omega }}}\right\rfloor$ =16381, ... {\displaystyle \dots } $\dots$			A086238	[1; 1, 13, 24, 2, 1, 1, 3, 1, 1, 3]
0.37395581361920228805472805434641641	Artin constante	C A r t i n {\displaystyle C_{Artin}} $C_{Artin}$	∏ n = 1 ∞ ( 1 - 1 p n ( p n - 1 ) ) {\displaystyle \{n=1}^{infty }\left(1-{frac {1}{p_{n}(p_{n}-1)}}right)} $\prod _{n=1}^{\infty }\left(1-{\frac {1}{p_{n}(p_{n}-1)}}\right)$ ...... p_n : primo		T	A005596	[0;2,1,2,14,1,1,2,3,5,1,3,1,5,1,1,2,3,5,46,...]
4.66920160910299067185320382046620161	Constante de Feigenbaum δ	δ {\displaystyle {\delta }} ${\delta }$	lim n → ∞ x n + 1 - x n x n + 2 - x n + 1 x ∈ ( 3 , 8284 ; 3 , 8495 ) {{displaystyle }lim _{n\a \infty }{frac {x_{n+1}-x_{n}}{x_{n+2}-x_{n+1}}qquad \scriptstyle x\in (3,8284;\a,3,8495)} $\lim _{n\to \infty }{\frac {x_{n+1}-x_{n}}{x_{n+2}-x_{n+1}}}\qquad \scriptstyle x\in (3,8284;\,3,8495)$ x n + 1 = a x n ( 1 - x n ) o x n + 1 = a sin ( x n ) {\displaystyle \scriptstyle x_{n+1}=,ax_{n}(1-x_{n})\quad {o}quad x_{n+1}=,a\sin(x_{n})} $\scriptstyle x_{n+1}=\,ax_{n}(1-x_{n})\quad {o}\quad x_{n+1}=\,a\sin(x_{n})$		T	A006890	[4;1,2,43,2,163,2,3,1,1,2,5,1,2,3,80,2,5,...]
2.50290787509589282228390287321821578	Constante de Feigenbaum α	α {\año de la pantalla \año de la pantalla \año de la pantalla \año} $\alpha$	lim n → ∞ d n d n + 1 {\displaystyle \lim _{n\to \infty }{frac {d_{n}}{d_{n+1}}}} $\lim _{n\to \infty }{\frac {d_{n}}{d_{n+1}}}$		T	A006891	[2;1,1,85,2,8,1,10,16,3,8,9,2,1,40,1,2,3,...]
5.97798681217834912266905331933922774	Constante de Madelung hexagonal ₂	H 2 ( 2 ) {\displaystyle H_{2}(2)} $H_{2}(2)$	π ln ( 3 ) 3 {\displaystyle \pi \ln(3){\aqrt {3}} $\pi \ln(3){\sqrt {3}}$	Pi Log[3]Sqrt[3]	T	A086055	[5;1,44,2,2,1,15,1,1,12,1,65,11,1,3,1,1,...]
0.96894614625936938048363484584691860	Beta(3)	β ( 3 ) {\N-estilo de la pantalla \N-beta (3)} $\beta (3)$	π 3 32 = ∑ n = 1 ∞ - 1 n + 1 ( - 1 + 2 n ) 3 = 1 1 3 - 1 3 3 + 1 5 3 - 1 7 3 + ... {{displaystyle}} {\frac {\pi ^{3}}{32}}=suma _{n=1}^{{infty}}}{{1^{n+1}}(-1+2n)^{3}}={frac {1}{1^{3}}{-}{frac {1}{3^{3}}{+}{frac {1}{5^{3}}{-}{frac {1}{7^{3}}{+}{puntos}} ${\frac {\pi ^{3}}{32}}=\sum _{n=1}^{\infty }{\frac {-1^{n+1}}{(-1+2n)^{3}}}={\frac {1}{1^{3}}}{-}{\frac {1}{3^{3}}}{+}{\frac {1}{5^{3}}}{-}{\frac {1}{7^{3}}}{+}\dots$	Suma[n=1 a ∞]{(-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,...]
1.902160583104	Constante de Brun₂ = Σ primos gemelos inversos	B 2 {\displaystyle B_{\\2} $B_{\,2}$	∑ ( 1 p + 1 p + 2 ) p , p + 2 : p r i m o s = ( 1 3 + 1 5 ) + ( 1 5 + 1 7 ) + ( 1 11 + 1 13 ) + ... {\displaystyle \textstyle \sum {\underset {p,\2:\{{primos}}({\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}})+\dots } $\textstyle \sum {\underset {p,\,p+2:\,{primos}}{({\frac {1}{p}}+{\frac {1}{p+2}})}}=({\frac {1}{3}}{+}{\frac {1}{5}})+({\tfrac {1}{5}}{+}{\tfrac {1}{7}})+({\tfrac {1}{11}}{+}{\tfrac {1}{13}})+\dots$			A065421	[1; 1, 9, 4, 1, 1, 8, 3, 4, 4, 2, 2]
0.870588379975	Constante de Brun₄ = Σ inversa del primo gemelo	B 4 {\displaystyle B_{,4}} $B_{\,4}$	( 1 5 + 1 7 + 1 11 + 1 13 ) p , p + 2 , p + 4 , p + 6 : p r i m e s + ( 1 11 + 1 13 + 1 17 + 1 19 ) + ... {\displaystyle {\underset {p,\2,\4,\6:\{{primas}} {Izquierda({tfrac {1}{5}}+{tfrac {1}{7}}+{tfrac {1}{11}}+{tfrac {1}{13}}Derecha)}+Izquierda({tfrac {1}{11}+{tfrac {1}{13}}+{tfrac {1}{17}+{tfrac {1}{19}}Derecha)+{puntos}} ${\underset {p,\,p+2,\,p+4,\,p+6:\,{primes}}{\left({\tfrac {1}{5}}+{\tfrac {1}{7}}+{\tfrac {1}{11}}+{\tfrac {1}{13}}\right)}}+\left({\tfrac {1}{11}}+{\tfrac {1}{13}}+{\tfrac {1}{17}}+{\tfrac {1}{19}}\right)+\dots$			A213007	[0; 1, 6, 1, 2, 1, 2, 956, 3, 1, 1]
22.4591577183610454734271522045437350	pi^e	π e {\displaystyle \pi ^{e}} $\pi ^{e}$	π e {\displaystyle \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,...]
3.14159265358979323846264338327950288	Pi, constante de Arquímedes	π {\año de la pantalla \año de la pantalla \año de la pantalla \año} $\pi$	lim n → ∞ 2 n 2 - 2 + 2 + ⋯ + 2 ⏟ n {\displaystyle \lim _{n\a \infty },2^{n}{sqrt} {2-{sqrt} {2+{sqrt} +{\a} {2+{puntos} {{sqrt} {2}}}}}}}} _{n}} $\lim _{n\to \infty }\,2^{n}\underbrace {\sqrt {2-{\sqrt {2+{\sqrt {2+\dots +{\sqrt {2}}}}}}}} _{n}$	Sum[n=0 a ∞]{(-1)^n 4/(2n+1)}	T	A000796	[3;7,15,1,292,1,1,1,2,1,3,1,14,...]
0.06598803584531253707679018759684642		e - e {\displaystyle e^{-e}} $e^{-e}$	e - e {\displaystyle e^{-e}} $e^{-e}$ ... Límite inferior de la Tetración		T	A073230	[0;15,6,2,13,1,3,6,2,1,1,5,1,1,1,9,4,1,1,1,...]
0.20787957635076190854695561983497877	i^i	i i i {desde el estilo i^{i}} $i^{i}$	e - π 2 {\displaystyle e^\frac {-\pi }{2}} $e^{\frac {-\pi }{2}}$	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,...]
0.28016949902386913303643649123067200	Constante de Bernstein	β {\año de la pantalla \año de la pantalla \año} $\beta$	1 2 π {\frac {1}{2}{\fracción cuadrática {\pi }}}}} ${\frac {1}{2{\sqrt {\pi }}}}$		T	A073001	[0;3,1,1,3,9,6,3,1,3,13,1,16,3,3,4,…]
0.28878809508660242127889972192923078	Flajolet y Richmond	Q {\diseño Q}	∏ n = 1 ∞ ( 1 - 1 2 n ) = ( 1 - 1 2 1 ) ( 1 - 1 2 2 ) ( 1 - 1 2 3 ) ... {\displaystyle \\\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)\n} $\prod _{n=1}^{\infty }\left(1-{\frac {1}{2^{n}}}\right)=\left(1{-}{\frac {1}{2^{1}}}\right)\left(1{-}{\frac {1}{2^{2}}}\right)\left(1{-}{\frac {1}{2^{3}}}\right)\dots$	prod[n=1 a ∞]{1-1/2^n}		A048651
0.31830988618379067153776752674502872	Inversa de Pi, Ramanujan	1 π {\displaystyle {\frac {1}{pi }} ${\frac {1}{\pi }}$	¡2 2 9801 ∑ n = 0 ∞ ( 4 n ) ! ( 1103 + 26390 n ) ( n ! ) 4 396 4 n {{displaystyle {\frac {2{cuadrado {2}}{9801}} {{suma _{n=0}^{{infty }{{{4n}} ${\frac {2{\sqrt {2}}}{9801}}\sum _{n=0}^{\infty }{\frac {(4n)!(1103+26390n)}{(n!)^{4}396^{4n}}}$		T	A049541	[0;3,7,15,292,1,1,1,2,1,3,1,14,2,1,1,...]
0.47494937998792065033250463632798297	Constante de Weierstraß	W W E {{displaystyle W_{WE}} $W_{_{WE}}$	e π 8 π 4 ∗ 2 3 / 4 ( 1 4 ! ) 2 {\displaystyle {\frac {e^{frac {\pi }{8}} {\sqrt {\pi }} 42^{3/4}{{{1}{4}})^2}}}}} ${\frac {e^{\frac {\pi }{8}}{\sqrt {\pi }}}{42^{3/4}{({\frac {1}{4}}!)^{2}}}}$	(E^(Pi/8) Sqrt[Pi])/(4 2^(3/4) (1/4)!^2)	T	A094692	[0;2,9,2,11,1,6,1,4,6,3,19,9,217,1,2,...]
0.56714329040978387299996866221035555	Constante Omega	Ω {\año de la pantalla \año de la pantalla \año} $\Omega$	¡W ( 1 ) = ∑ n = 1 ∞ ( - n ) n - 1 n ! = 1 - 1 + 3 2 - 8 3 + 125 24 - ... {\displaystyle W(1)={suma _{n=1}^{{infty }{{frac {(-n)^{n-1}}{n!}}=1{-}1{+}{frac {3}{2}}{{}{frac {8}{3}}{+}{{frac {125}{24}}-puntos } $W(1)=\sum _{n=1}^{\infty }{\frac {(-n)^{n-1}}{n!}}=1{-}1{+}{\frac {3}{2}}{-}{\frac {8}{3}}{+}{\frac {125}{24}}-\dots$	suma[n=1 a ∞]{(-n)^(n-1)/n!}	T	A030178	[0;1,1,3,4,2,10,4,1,1,1,1,2,7,306,1,5,1,...]
0.57721566490153286060651209008240243	El número de Euler	γ {\año de la pantalla \año de la pantalla \año \año} $\gamma$	- ψ ( 1 ) = ∑ n = 1 ∞ ∑ k = 0 ∞ ( - 1 ) k 2 n + k {\displaystyle -\psi (1)=suma _{n=1}^{\infty }{suma _{k=0}^{\infty }{frac {(-1)^{k}{2^{n}+k}} $-\psi (1)=\sum _{n=1}^{\infty }\sum _{k=0}^{\infty }{\frac {(-1)^{k}}{2^{n}+k}}$	suma[n=1 a ∞]\|suma[k=0 a ∞]{((-1)^k)/(2^n+k)}	?	A001620	[0;1,1,2,1,2,1,4,3,13,5,1,1,8,1,2,...]
0.60459978807807261686469275254738524	Serie de Dirichlet	π 3 3 {\displaystyle {\frac {\pi }{3{sqrt {3}}}}} ${\frac {\pi }{3{\sqrt {3}}}}$	∑ n = 1 ∞ 1 n ( 2 n n ) = 1 - 1 2 + 1 4 - 1 5 + 1 7 - 1 8 + ⋯ {{displaystyle \\\\}sum _{n=1}^{\infty }{\frac {1}{2n{elegir n}}=1-{{frac {1}{2}}+{frac {1}{4}}-{frac {1}{5}}+{frac {1}{7}}-{frac {1}{8}}+{cdots } $\sum _{n=1}^{\infty }{\frac {1}{n{2n \choose n}}}=1-{\frac {1}{2}}+{\frac {1}{4}}-{\frac {1}{5}}+{\frac {1}{7}}-{\frac {1}{8}}+\cdots$	Sum[1/(n Binomio[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,...]
0.63661977236758134307553505349005745	2/Pi, François Viète	2 π {\displaystyle {\frac {2}{pi }} ${\frac {2}{\pi }}$	2 2 ⋅ 2 + 2 2 ⋅ 2 + 2 + 2 ⋯ {\displaystyle {\frac {\sqrt {2}{2}{cdot} {\frac {\sqrt {2+{2}{cdot} {\frac {\sqrt {2+{2}{cdot}} ${\frac {\sqrt {2}}{2}}\cdot {\frac {\sqrt {2+{\sqrt {2}}}}{2}}\cdot {\frac {\sqrt {2+{\sqrt {2+{\sqrt {2}}}}}}{2}}\cdots$		T	A060294	[0;1,1,1,3,31,1,145,1,4,2,8,1,6,1,2,3,1,4,...]
0.66016181584686957392781211001455577	Constante prima gemela	C 2 {\displaystyle C_{2}} $C_{2}$	∏ p = 3 ∞ p ( p - 2 ) ( p - 1 ) 2 {\displaystyle \{prod _{p=3}^{\infty }{\frac {p(p-2)}{(p-1)^{2}}}} $\prod _{p=3}^{\infty }{\frac {p(p-2)}{(p-1)^{2}}}$	prod[p=3 a ∞]{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,...]
0.66274341934918158097474209710925290	Constante de límite de Laplace	λ {\año de la pantalla \año de la cámara} $\lambda$				A033259	[0;1,1,1,27,1,1,1,8,2,154,2,4,1,5,...]
0.69314718055994530941723212145817657	Logaritmo de 2	L n ( 2 ) {\Ndirección Ln(2)} $Ln(2)$	∑ n = 1 ∞ ( - 1 ) n + 1 n = 1 1 - 1 2 + 1 3 - 1 4 + 1 5 - ⋯ {{displaystyle \\\_sum _{n=1}^{\infty }{{frac {(-1)^{n+1}}{n}={frac {1}}-{frac {1}{2}}+{frac {1}{3}}-{frac {1}{4}}+{frac {1}{5}}{cdots } $\sum _{n=1}^{\infty }{\frac {(-1)^{n+1}}{n}}={\frac {1}{1}}-{\frac {1}{2}}+{\frac {1}{3}}-{\frac {1}{4}}+{\frac {1}{5}}-\cdots$	Suma[n=1 a ∞]{(-1)^(n+1)/n}	T	A002162	[0;1,2,3,1,6,3,1,1,2,1,1,1,1,3,10,...]
0.78343051071213440705926438652697546	El sueño de un estudiante de segundo año₁ J.Bernoulli	I 1 {\displaystyle I_{1} $I_{1}$	∑ n = 1 ∞ ( - 1 ) n + 1 n = 1 - 1 2 2 + 1 3 3 - 1 4 4 + 1 5 5 + ... {\displaystyle \{sum _{n=1}^{{infty }{{{1)^{n+1}{n^{n}}=1-{{frac {1}{2^{2}}+{{frac {1}{3^{3}}+{{frac {1}{4^{4}}+{{frac {1}{5^{5}}+{puntos} $\sum _{n=1}^{\infty }{\frac {(-1)^{n+1}}{n^{n}}}=1-{\frac {1}{2^{2}}}+{\frac {1}{3^{3}}}-{\frac {1}{4^{4}}}+{\frac {1}{5^{5}}}+\dots$	Suma[ -(-1)^n /n^n]	T	A083648	[0;1,3,1,1,1,1,1,1,2,4,7,2,1,2,1,1,1,...]
0.78539816339744830961566084581987572	Dirichlet beta(1)	β ( 1 ) {\N-estilo de la pantalla \N-beta (1)} $\beta (1)$	π 4 = ∑ n = 0 ∞ ( - 1 ) n 2 n + 1 = 1 1 - 1 3 + 1 5 - 1 7 + 1 9 - ⋯ {\frac {\pi }{4}}={suma _{n=0}^{\infty }{{frac {(-1)^{n}}{2n+1}}={frac {1}}-{frac {1}{3}}+{frac {1}{5}}-{frac {1}{7}}+{frac {1}{9}}-{cdots } ${\frac {\pi }{4}}=\sum _{n=0}^{\infty }{\frac {(-1)^{n}}{2n+1}}={\frac {1}{1}}-{\frac {1}{3}}+{\frac {1}{5}}-{\frac {1}{7}}+{\frac {1}{9}}-\cdots$	Sum[n=0 a ∞]{(-1)^n/(2n+1)}	T	A003881	[0; 1,3,1,1,1,15,2,72,1,9,1,17,1,2,1,5,...]
0.82246703342411321823620758332301259	Vendedor ambulante Nielsen-Ramanujan	ζ ( 2 ) 2 {\displaystyle {\frac {\zeta (2)}{2}} ${\frac {\zeta (2)}{2}}$	π 2 12 = ∑ n = 1 ∞ ( - 1 ) n + 1 n 2 = 1 2 - 1 2 2 + 1 3 2 - 1 4 2 + 1 5 2 - ... {\frac {\pi ^{2}}{12}=suma _{n=1}^{infty }{{{1}^{n+1}}{n^{2}}={frac {1}{1^{2}}{-{frac {1}{2^{2}}{+}{frac {1}{3^{2}}{-{frac {1}{4^{2}}{+}{{puntos}} ${\frac {\pi ^{2}}{12}}=\sum _{n=1}^{\infty }{\frac {(-1)^{n+1}}{n^{2}}}={\frac {1}{1^{2}}}{-}{\frac {1}{2^{2}}}{+}{\frac {1}{3^{2}}}{-}{\frac {1}{4^{2}}}{+}{\frac {1}{5^{2}}}-\dots$	Suma[n=1 a ∞]{((-1)^(k+1))/n^2}	T	A072691	[0;1,4,1,1,1,2,1,1,1,1,3,2,2,4,1,1,1,...]
0.91596559417721901505460351493238411	Constante catalana	C {\año C} $C$	∑ n = 0 ∞ ( - 1 ) n ( 2 n + 1 ) 2 = 1 1 2 - 1 3 2 + 1 5 2 - 1 7 2 + ⋯ {\displaystyle \sum _{n=0}^{\infty }{{frac {(-1)^{n}}(2n+1)^{2}}={frac {1}{1^{2}}-{frac {1}{3^{2}}+{frac {1}{5^{2}}-{frac {1}{7^{2}}+{cdots } $\sum _{n=0}^{\infty }{\frac {(-1)^{n}}{(2n+1)^{2}}}={\frac {1}{1^{2}}}-{\frac {1}{3^{2}}}+{\frac {1}{5^{2}}}-{\frac {1}{7^{2}}}+\cdots$	Sum[n=0 a ∞]{(-1)^n/(2n+1)^2}	I	A006752	[0;1,10,1,8,1,88,4,1,1,7,22,1,2,...]
1.05946309435929526456182529494634170	Relación de la distancia entre semitonos	2 12 {\displaystyle {\sqrt[{12}]{2}} ${\sqrt[{12}]{2}}$	2 12 {\displaystyle {\sqrt[{12}]{2}} ${\sqrt[{12}]{2}}$	2^(1/12)	I	A010774	[1;16,1,4,2,7,1,1,2,2,7,4,1,2,1,60,1,3,1,2,...]
1,.08232323371113819151600369654116790	Zeta(04)	ζ 4 {\a6} $\zeta {4}$	π 4 90 = ∑ n = 1 ∞ 1 n 4 = 1 1 4 + 1 2 4 + 1 3 4 + 1 4 4 + 1 5 4 + ... {\frac {\pi ^{4}{90}=suma _{n=1}^{infty}}={frac {1}{n^{4}}={frac {1}{4}+{frac {1}{2^{4}+{frac {1}{3^{4}}+{frac {1}{4^{4}}+{frac {1}{5^{4}}+{puntos} ${\frac {\pi ^{4}}{90}}=\sum _{n=1}^{\infty }{\frac {1}{n^{4}}}={\frac {1}{1^{4}}}+{\frac {1}{2^{4}}}+{\frac {1}{3^{4}}}+{\frac {1}{4^{4}}}+{\frac {1}{5^{4}}}+\dots$	Suma[n=1 a ∞]{1/n^4}	T	A013662	[1;12,6,1,3,1,4,183,1,1,2,1,3,1,1,5,4,2,7,...]
1.1319882487943 ...	Viswanaths Archivado 2013-04-13 en la Wayback Machine constante	C V i {\displaystyle C_{Vi}} $C_{Vi}$	lim n → ∞ \| a n \| 1 n {\displaystyle \lim _{n a \infty }\|a_{n}\|^{frac {1}{n}} $\lim _{n\to \infty }\|a_{n}\|^{\frac {1}{n}}$			A078416	[1;7,1,1,2,1,3,2,1,2,1,8,1,5,1,1,1,9,1,...]
1.20205690315959428539973816151144999	Apéry constante	ζ ( 3 ) {\a6) $\zeta (3)$	∑ n = 1 ∞ 1 n 3 = 1 1 3 + 1 2 3 + 1 3 3 + 1 4 3 + 1 5 3 + ⋯ {{displaystyle \\\_sum _{n=1}^{\infty }{\frac {{1}{n^{3}}={{refrac}{1}{1^{3}}+{refrac}{1}{2^{3}}+{refrac}{1}{3^{3}}+{refrac}{4^{3}}+{refrac}{5^{3}}+{cdots},¡\!} $\sum _{n=1}^{\infty }{\frac {1}{n^{3}}}={\frac {1}{1^{3}}}+{\frac {1}{2^{3}}}+{\frac {1}{3^{3}}}+{\frac {1}{4^{3}}}+{\frac {1}{5^{3}}}+\cdots \,\!$	Suma[n=1 a ∞]{1/n^3}	I	A010774	[1;4,1,18,1,1,1,4,1,9,9,2,1,1,1,2,...]
1.22541670246517764512909830336289053	Gamma(3/4)	Γ ( 3 4 ) {\displaystyle \Gamma ({\tfrac {3}{4})} $\Gamma ({\tfrac {3}{4}})$	¡( - 1 + 3 4 ) ! {\displaystyle \left(-1+{{frac {3}{4}}\right)!} $\left(-1+{\frac {3}{4}}\right)!$	¡(-1+3/4)!	T	A068465	[1;4,2,3,2,2,1,1,1,2,1,4,7,1,171,3,2,3,1,1,...]
1.23370055013616982735431137498451889	Constante de Favard	3 4 ζ ( 2 ) {\displaystyle {\tfrac {3}{4} {zeta (2)} ${\tfrac {3}{4}}\zeta (2)$	π 2 8 = ∑ n = 0 ∞ 1 ( 2 n - 1 ) 2 = 1 2 + 1 3 2 + 1 5 2 + 1 7 2 + ... {\displaystyle {\frac {\pi ^{2}}{8}=suma _{n=0}^{{infty }{{1}(2n-1)^{2}}={frac {1}{1^{2}}+{frac {1}{3^{2}}+{frac {1}{5^{2}}+{frac {1}{7^{2}}+{puntos} ${\frac {\pi ^{2}}{8}}=\sum _{n=0}^{\infty }{\frac {1}{(2n-1)^{2}}}={\frac {1}{1^{2}}}+{\frac {1}{3^{2}}}+{\frac {1}{5^{2}}}+{\frac {1}{7^{2}}}+\dots$	suma[n=1 a ∞]{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,...]
1.25992104989487316476721060727822835	Raíz cúbica de 2, constante Delian	2 3 {\displaystyle {\sqrt[{3}]{2}} ${\sqrt[{3}]{2}}$	2 3 {\displaystyle {\sqrt[{3}]{2}} ${\sqrt[{3}]{2}}$	2^(1/3)	I	A002580	[1;3,1,5,1,1,4,1,1,8,1,14,1,10,...]
1.29128599706266354040728259059560054	El sueño de un estudiante de segundo año₂ J.Bernoulli	I 2 {\displaystyle I_{2} $I_{2}$	∑ n = 1 ∞ 1 n = 1 + 1 2 2 + 1 3 3 + 1 4 4 + 1 5 5 + 1 6 6 + ... {\displaystyle \\\Nsuma _{n=1}^{infty }{{1}{n^{n}}=1+{frac {1}{2^{2}}+{frac {1}{3^{3}}+{frac {1}{4^{4}}+{frac {1}{5^{5}}+{frac {1}{6^{6}}+{puntos} $\sum _{n=1}^{\infty }{\frac {1}{n^{n}}}=1+{\frac {1}{2^{2}}}+{\frac {1}{3^{3}}}+{\frac {1}{4^{4}}}+{\frac {1}{5^{5}}}+{\frac {1}{6^{6}}}+\dots$	Sum[1/(n^n]), {n, 1, ∞}]		A073009	[1;3,2,3,4,3,1,2,1,1,6,7,2,5,3,1,2,1,8,1,...]
1.32471795724474602596090885447809734	Número de plástico	ρ {\año de la pantalla \año de la pantalla \año} $\rho$	1 + 1 + 1 + ⋯ 3 3 3 {\displaystyle {{sqrt[{3}]{1+{{sqrt[{3}]{1+{sqrt[{3}]{1+{{sqrt[{3}]{1+{cdots }}}}}}}}} ${\sqrt[{3}]{1+{\sqrt[{3}]{1+{\sqrt[{3}]{1+{\sqrt[{3}]{1+\cdots }}}}}}}}$		I	A060006	[1;3,12,1,1,3,2,3,2,4,2,141,80,2,5,1,2,8,...]
1.41421356237309504880168872420969808	Raíz cuadrada de 2, constante de Pitágoras	2 {\displaystyle {\sqrt {2}} ${\sqrt {2}}$	∏ n = 1 ∞ 1 + ( - 1 ) n + 1 2 n - 1 = ( 1 + 1 1 ) ( 1 - 1 3 ) ( 1 + 1 5 ) . . . {\displaystyle \\\n=1}^{\infty }1+{\frac {(-1)^{n+1}{2n-1}}={{{}}Izquierda(1{+}{\frac {1}{1}}Derecha)}{{{}Izquierda(1{}{3}{Derecha)}{{{{1}{5}{Derecha)...} $\prod _{n=1}^{\infty }1+{\frac {(-1)^{n+1}}{2n-1}}=\left(1{+}{\frac {1}{1}}\right)\left(1{-}{\frac {1}{3}}\right)\left(1{+}{\frac {1}{5}}\right)...$	prod[n=1 a ∞]{1+(-1)^(n+1)/(2n-1)}	I	A002193	[1;2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,...] = [1;(2),...]
1.44466786100976613365833910859643022	Número de Steiner	e 1 e {\displaystyle e^\frac {1}{e}} $e^{\frac {1}{e}}$	e 1 / e {\displaystyle e^{1/e}} $e^{1/e}$ ... Límite superior de la tetralogía			A073229	[1;2,4,55,27,1,1,16,9,3,2,8,3,2,1,1,4,1,9,...]
1.53960071783900203869106341467188655	Constante de hielo cuadrado de Lieb	W 2 D {\displaystyle W_{2D}} $W_{2D}$	lim n → ∞ ( f ( n ) ) n - 2 = ( 4 3 ) 3 2 {\displaystyle \lim _{n\to \infty }(f(n))^{n^-2}=left({\frac {4}{3}}right)^{\frac {3}{2}} $\lim _{n\to \infty }(f(n))^{n^{-2}}=\left({\frac {4}{3}}\right)^{\frac {3}{2}}$	(4/3)^(3/2)	I	A118273	[1;1,1,5,1,4,2,1,6,1,6,1,2,4,1,5,1,1,2,...]
1.57079632679489661923132169163975144	Producto Wallis	π / 2 {\desde el punto de vista de la visualización \pi /2} $\pi /2$	∏ n = 1 ∞ ( 4 n 2 4 n 2 - 1 ) = 2 1 ⋅ 2 3 ⋅ 4 3 ⋅ 4 5 ⋅ 6 5 ⋅ 6 7 ⋅ 8 7 ⋅ 8 9 ⋯ {\displaystyle \prod _{n=1}^{infty }\left({\frac {4n^{2}{4n^{2}- $\prod _{n=1}^{\infty }\left({\frac {4n^{2}}{4n^{2}-1}}\right)={\frac {2}{1}}\cdot {\frac {2}{3}}\cdot {\frac {4}{3}}\cdot {\frac {4}{5}}\cdot {\frac {6}{5}}\cdot {\frac {6}{7}}\cdot {\frac {8}{7}}\cdot {\frac {8}{9}}\cdots$		T	A019669	[1;1,1,3,31,1,145,1,4,2,8,1,6,1,2,3,1...]
1.60669515241529176378330152319092458	Constante de Erdős-Borwein	E B {\displaystyle E_{\\\\año,B}} $E_{\,B}$	∑ n = 1 ∞ 1 2 n - 1 = 1 1 + 1 3 + 1 7 + 1 15 + ⋯ {{displaystyle}{{suma}{n=1}^{infty}}{{frac {1}{2^{n}-1}}={frac {1}{3}+{frac {1}{7}+{frac {1}{15}}+{cdots{,\}} $\sum _{n=1}^{\infty }{\frac {1}{2^{n}-1}}={\frac {1}{1}}+{\frac {1}{3}}+{\frac {1}{7}}+{\frac {1}{15}}+\cdots \,\!$	suma[n=1 a ∞]{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,...]
1.61803398874989484820458633436563812	Phi, proporción áurea	φ {\\Ndejar de ver el estilo \N de la pantalla } $\varphi$	1 + 5 2 = 1 + 1 + 1 + ⋯ {\displaystyle {\frac {1+{cuadrado}}}{2}}={cuadrado}{1+{cuadrado}{1+{cuadrado}{1+{cuadrado}{1+cuadrado}{1+cuadrado}{2}}. ${\frac {1+{\sqrt {5}}}{2}}={\sqrt {1+{\sqrt {1+{\sqrt {1+{\sqrt {1+\cdots }}}}}}}}$	(1+5^(1/2))/2	I	A001622	[0;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,...] = [0;(1),...]
1.64493406684822643647241516664602519	Zeta(2)	ζ ( 2 ) {\año de la pantalla \año de la pantalla (\año,2)} $\zeta (\,2)$	π 2 6 = ∑ n = 1 ∞ 1 n 2 = 1 1 2 + 1 2 2 + 1 3 2 + 1 4 2 + ⋯ {\displaystyle {\frac {\pi ^{2}}{6}=\suma {{n=1}^{infty }{{1}{n^2}}={frac {1}{1^2}}+{frac {1}{2^2}}+{frac {1}{3^2}}+{frac {1}{4^2}}+{cdots } ${\frac {\pi ^{2}}{6}}=\sum _{n=1}^{\infty }{\frac {1}{n^{2}}}={\frac {1}{1^{2}}}+{\frac {1}{2^{2}}}+{\frac {1}{3^{2}}}+{\frac {1}{4^{2}}}+\cdots$	Suma[n=1 a ∞]{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,...]
1.66168794963359412129581892274995074	La constante de recurrencia cuadrática de Somos	σ {\año de la pantalla \año de la pantalla \año} $\sigma$	1 2 3 ⋯ = 1 1 / 2 ; 2 1 / 4 ; 3 1 / 8 ⋯ {\displaystyle {{sqrt} {2{sqrt} {3\cdots }}}}}}=1^{1/2};2^{1/4};3^{1/8}\cdots } ${\sqrt {1{\sqrt {2{\sqrt {3\cdots }}}}}}=1^{1/2};2^{1/4};3^{1/8}\cdots$		T	A065481	[1;1,1,1,21,1,1,1,6,4,2,1,1,2,1,3,1,13,13,...]
1.73205080756887729352744634150587237	Constante de Teodoro	3 {\displaystyle {\sqrt {3}} ${\sqrt {3}}$	3 {\displaystyle {\sqrt {3}} ${\sqrt {3}}$	3^(1/2)	I	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),...]
1.75793275661800453270881963821813852	Número de Kasner	R {\diseño de R} $R$	1 + 2 + 3 + 4 + ⋯ {\displaystyle {\sqrt {1+\sqrt {2+\sqrt {3+\sqrt {4+\cdots }}}}}}}}} ${\sqrt {1+{\sqrt {2+{\sqrt {3+{\sqrt {4+\cdots }}}}}}}}$			A072449	[1;1,3,7,1,1,1,2,3,1,4,1,1,2,1,2,20,1,2,2,...]
1.77245385090551602729816748334114518	Constante Carlson-Levin	Γ ( 1 2 ) {\displaystyle \Gamma ({\tfrac {1}{2}})} $\Gamma ({\tfrac {1}{2}})$	¡π = ( - 1 2 ) ! {\displaystyle {\sqrt {\pi }}=\left(-{{frac {1}{2}}right)!} ${\sqrt {\pi }}=\left(-{\frac {1}{2}}\right)!$	sqrt (pi)	T	A002161	[1;1,3,2,1,1,6,1,28,13,1,1,2,18,1,1,1,83,1,...]
2.29558714939263807403429804918949038	Constante parabólica universal	P 2 {\displaystyle P_{{2}} $P_{\,2}$	ln ( 1 + 2 ) + 2 {\displaystyle \ln(1+{cuadrado {2}})+{cuadrado {2}} $\ln(1+{\sqrt {2}})+{\sqrt {2}}$	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,...]
2.30277563773199464655961063373524797	Número de bronce	σ R r {{desde el punto de vista de la visualización}} $\sigma _{\,Rr}$	3 + 13 2 = 1 + 3 + 3 + 3 + ⋯ {\displaystyle {\frac {3+{cuadrado}}}{2}}=1+{cuadrado}{3+{cuadrado}{3+cuadrado}{3+cuadrado}{3+cuadrado}{3+cuadrado}{2}} ${\frac {3+{\sqrt {13}}}{2}}=1+{\sqrt {3+{\sqrt {3+{\sqrt {3+{\sqrt {3+\cdots }}}}}}}}$	(3+sqrt 13)/2	I	A098316	[3;3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,...] = [3;(3),...]
2.37313822083125090564344595189447424	Constante de Lévy₂	2 ln γ {\Ndice 2,\ln \Ngamma } $2\,\ln \,\gamma$	π 2 6 ln ( 2 ) {\frac {\pi ^{2}}{6\ln(2)}} ${\frac {\pi ^{2}}{6\ln(2)}}$	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,...]
2.50662827463100050241576528481104525	raíz cuadrada de 2 pi	2 π {\displaystyle {\sqrt {2\pi }} ${\sqrt {2\pi }}$	2 π = lim n → ∞ n ! e n n n n {\displaystyle {{sqrt {2\pi }}={lim _{n\to \infty }} {{frac {n!\\};e^{n}}{{sqrt {n}}}}} ${\sqrt {2\pi }}=\lim _{n\to \infty }{\frac {n!\;e^{n}}{n^{n}{\sqrt {n}}}}$	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,...]
2.66514414269022518865029724987313985	Constante de Gelfond-Schneider	G G S {\displaystyle G_{\\\\\\Nde la GS}} $G_{_{\,GS}}$	2 2 {\displaystyle 2^{\\\c al cuadrado {2}} $2^{\sqrt {2}}$	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,...]
2.68545200106530644530971483548179569	Constante de Khintchin	K 0 {\displaystyle K_{{0}} $K_{\,0}$	∏ n = 1 ∞ [ 1 + 1 n ( n + 2 ) ] ln n / ln 2 {\displaystyle \{prod _{n=1}^{\infty }left[{1+{1 \over n(n+2)}\ right]^{ln n/\ln 2}}. $\prod _{n=1}^{\infty }\left[{1+{1 \over n(n+2)}}\right]^{\ln n/\ln 2}$	prod[n=1 a ∞]{(1+1/(n(n+2)))^((ln(n)/ln(2))}	?	A002210	[2;1,2,5,1,1,2,1,1,3,10,2,1,3,2,24,1,3,2,...]
3.27582291872181115978768188245384386	Constante de Khinchin-Lévy	γ {\año de la pantalla \año de la pantalla \año \año} $\gamma$	e π 2 / ( 12 ln 2 ) {\displaystyle e^{pi ^{2}/(12\ln 2)}} $e^{\pi ^{2}/(12\ln 2)}$	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,...]
3.35988566624317755317201130291892717	Constante recíproca de Fibonacci	Ψ {\\Ndice el estilo \N de la pantalla} $\Psi$	∑ n = 1 ∞ 1 F n = 1 1 + 1 1 + 1 2 + 1 3 + 1 5 + 1 8 + 1 13 + ⋯ {{displaystyle \\\\_sum _{n=1}^{{infty }{{frac {1}{F_{n}}={{frac}{1}}+{frac}{1}{1}}+{frac}{2}}+{frac}{3}}+{frac}{5}+{frac}{8}+{frac}{13}+{cdots}} $\sum _{n=1}^{\infty }{\frac {1}{F_{n}}}={\frac {1}{1}}+{\frac {1}{1}}+{\frac {1}{2}}+{\frac {1}{3}}+{\frac {1}{5}}+{\frac {1}{8}}+{\frac {1}{13}}+\cdots$			A079586	[3;2,1,3,1,1,13,2,3,3,2,1,1,6,3,2,4,362,...]
4.13273135412249293846939188429985264	Raíz de 2 e pi	2 e π {\displaystyle {\sqrt {2e\pi }} ${\sqrt {2e\pi }}$	2 e π {\displaystyle {\sqrt {2e\pi }} ${\sqrt {2e\pi }}$	sqrt(2e pi)	T	A019633	[4;7,1,1,6,1,5,1,1,1,8,3,1,2,2,15,2,1,1,2,4,...]
6.58088599101792097085154240388648649	Constante de Froda	2 e {\displaystyle 2^{\\\\\}} $2^{\,e}$	2 e {\displaystyle 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,...]
9.86960440108935861883449099987615114	Pi al cuadrado	π 2 {\displaystyle \pi ^{2}} $\pi ^{2}$	6 ∑ n = 1 ∞ 1 n 2 = 6 1 2 + 6 2 2 + 6 3 2 + 6 4 2 + ⋯ {{displaystyle 6{suma _{n=1}^{infty }}={{frac {1}{n^2}}+{frac {6}{1^2}}+{frac {6}{3^2}}+{frac {6}{4^2}}+{cdots } $6\sum _{n=1}^{\infty }{\frac {1}{n^{2}}}={\frac {6}{1^{2}}}+{\frac {6}{2^{2}}}+{\frac {6}{3^{2}}}+{\frac {6}{4^{2}}}+\cdots$	6 Suma[n=1 a ∞]{1/n^2}	T	A002388	[9;1,6,1,2,47,1,8,1,1,2,2,1,1,8,3,1,10,5,...]
23.1406926327792690057290863679485474	Constante de Gelfond	e π {\displaystyle e^{\pi }} $e^{\pi }$	¡∑ n = 0 ∞ π n n ! ¡= π 1 1 + π 2 2 ! ¡+ π 3 3 ! ¡+ π 4 4 ! + ⋯ {\displaystyle \{n=0}^{{infty }{{frac {\pi ^{n}{n!}}={frac {\pi ^{1}{1}+{frac {\pi ^{2}{2!}+{frac {\pi ^{3}{3!}+{frac {\pi ^{4}{4!}+{cdots } $\sum _{n=0}^{\infty }{\frac {\pi ^{n}}{n!}}={\frac {\pi ^{1}}{1}}+{\frac {\pi ^{2}}{2!}}+{\frac {\pi ^{3}}{3!}}+{\frac {\pi ^{4}}{4!}}+\cdots$	Sum[n=0 a ∞]{(pi^n)/n!}	T	A039661	[23;7,9,3,1,1,591,2,9,1,2,34,1,16,1,30,1,...]

Páginas relacionadas

Función constante
Lista de símbolos matemáticos

Libros

Finch, Steven (2003). Constantes matemáticas. Cambridge University Press. ISBN 0-521-81805-2.

Daniel Zwillinger (2012). Tablas y fórmulas matemáticas estándar. Imperial College Press. ISBN 978-1-4398-3548-7.

Eric W. Weisstein (2003). Enciclopedia Concisa de Matemáticas del CRC. Chapman & Hall/CRC. ISBN 1-58488-347-2.

Lloyd Kilford (2008). Modular Forms, a Classical and Computational Introduction. Imperial College Press. ISBN 978-1-84816-213-6.

Bibliografía en línea

Enciclopedia en línea de las secuencias de números enteros (OEIS)
Simon Plouffe, Tablas de Constantes
La página de números, constantes matemáticas y algoritmos de Xavier Gourdon y Pascal Sebah
MathConstants

Preguntas y respuestas

P: ¿Qué es una constante matemática?

R: Una constante matemática es un número que tiene un significado especial para los cálculos.

P: ¿Cuál es un ejemplo de una constante matemática?

R: Un ejemplo de constante matemática es נ, que representa la relación entre la circunferencia de un círculo y su diámetro.

P: ¿El valor de נ es siempre el mismo?

R: Sí, el valor de נ es siempre el mismo para cualquier círculo.

P: ¿Las constantes matemáticas son números integrales?

R: No, las constantes matemáticas suelen ser números reales, no integrales.

P: ¿De dónde proceden las constantes matemáticas?

R: Las constantes matemáticas no proceden de mediciones físicas como las constantes físicas.