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 A225848 #7 May 17 2013 09:47:59 %S A225848 2,1,1,8,9,9,3,7,9,4,7,7,9,8,8,0,4,0,6,2,0,1,4,7,6,8,4,2,2,7,9,2,2,2, %T A225848 9,2,5,7,7,9,2,9,6,7,4,1,4,4,0,6,8,0,1,5,3,6,0,7,4,8,5,6,7,7,7,4,6,7, %U A225848 6,3,4,7,3,0,1,9,6,9,4,0,4,0,3,9,9,9,1,5,3,0,8,0,4,6,9,6,9,5,2,3,5,0,5,9,9 %N A225848 Decimal expansion of sum_{n>=1} 1/(n*binomial(5*n,n)). %C A225848 Equals Integral_{x>0}((4*x)/((1 + x)*(1 + 4*x + 10*x^2 + 10*x^3 + 5*x^4 + x^5))). %D A225848 George Boros and Victor H. Moll, Irresistible integrals, Cambridge University Press (2006), p. 60. %e A225848 0.211899379477988040620147684227922292577929674144068015360748567774676347301... %t A225848 (1/5)*HypergeometricPFQ[{1, 1, 5/4, 3/2, 7/4}, {6/5, 7/5, 8/5, 9/5}, 256/3125] // RealDigits[#, 10, 105]& // First %Y A225848 Cf. A073010, A210453. %K A225848 nonn,cons %O A225848 0,1 %A A225848 _Jean-François Alcover_, May 17 2013