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 A243525 #5 Jun 06 2014 08:21:55 %S A243525 4,1,5,9,2,7,1,0,8,9,8,3,2,4,8,1,1,9,1,8,1,4,0,9,0,5,8,6,0,1,8,9,3,4, %T A243525 2,4,0,8,2,6,3,7,7,9,0,4,2,0,3,4,6,2,9,9,4,6,2,3,7,0,2,8,5,5,8,1,1,5, %U A243525 5,3,1,7,9,5,1,9,4,4,9,8,5,5,3,5,0,7,6,3,7,4,4,8,0,9,6,7,7,9,5,1 %N A243525 Decimal expansion of the variance of the maximum of a size 6 sample from a normal (0,1) distribution. %D A243525 Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.16 Extreme value constants, p. 365. %F A243525 -((225*(Pi*(Pi-4*arccsc(Sqrt(3))) + 2*integral_(x=0..arccsc(sqrt(3)))(arcsin(sqrt(3)*sqrt(1/(8-tan(x)^2)))))^2)/(4*Pi^5))+(5*sqrt(3)*(Pi-3*arccsc(2*sqrt(2/3))))/Pi^2+1 %e A243525 0.415927108983248119181409058601893424... %t A243525 digits = 100; v[6] = -((225*(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)/(4*Pi^5)) + (5*Sqrt[3]*(Pi - 3*ArcCsc[2*Sqrt[2/3]]))/Pi^2 + 1; RealDigits[v[6], 10, digits] // First %Y A243525 Cf. A188340, A243447, A243452, A243454, A243523. %K A243525 nonn,cons %O A243525 0,1 %A A243525 _Jean-François Alcover_, Jun 06 2014