This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A243523 #7 Jun 06 2014 08:21:05 %S A243523 1,2,6,7,2,0,6,3,6,0,6,1,1,4,7,1,2,9,7,6,4,9,3,4,8,8,8,1,8,6,3,9,9,4, %T A243523 4,4,2,6,9,3,6,5,0,1,9,1,8,5,2,4,3,5,7,4,8,9,4,6,1,7,5,7,0,6,9,7,2,8, %U A243523 4,5,0,9,4,9,7,0,0,9,2,9,9,6,3,8,3,6,2,7,2,4,7,3,6,9,7,8,9,6,5,1 %N A243523 Decimal expansion of the expectation of the maximum of a size 6 sample from a normal (0,1) distribution. %D A243523 Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.16 Extreme value constants, p. 365. %F A243523 (15*(Pi*(Pi-4*arccsc(sqrt(3))) + 2*integral_(x=0..arccsc(sqrt(3)))(arcsin(sqrt(3)*sqrt(1/(8-tan(x)^2))))))/(2*Pi^(5/2)). %e A243523 1.26720636061147129764934888186399444269365... %t A243523 digits=100; mu[6] = (15*(Pi*(Pi - 4*ArcCsc[Sqrt[3]]) + 2*NIntegrate[ ArcSin[Sqrt[3]*Sqrt[1/(8 - Tan[x]^2)]], {x, 0, ArcCsc[Sqrt[3]]}, WorkingPrecision -> digits + 5]))/(2* Pi^(5/2)) ; RealDigits[mu[6], 10, digits] // First %Y A243523 Cf. A087197, A243446, A243448, A243453. %K A243523 nonn,cons %O A243523 1,2 %A A243523 _Jean-François Alcover_, Jun 06 2014