%I #6 Apr 10 2016 05:31:23
%S 1,5,8,1,6,0,0,8,4,7,6,8,7,7,0,9,5,3,2,5,4,1,2,2,8,9,8,9,8,1,0,4,5,9,
%T 0,2,3,6,2,1,2,4,5,0,0,2,5,4,3,0,1,2,5,6,5,9,0,6,8,2,0,0,8,6,1,4,9,1,
%U 6,9,0,9,1,8,3,1,5,2,8,1,5,5,0,8,7,8,3,3,3,4,9,0,5
%N Decimal expansion of the Gaussian Hypergeometric Function 2F1(2,2; 5/2; x) at x=1/4.
%C Division through 6 gives 0.2630001.. = integral_{x=0..infinity} x^2*I_1(x)*K_0(x)^2 dx, where I and K are Modified Bessel Functions.
%e 1.581600847687...
%t RealDigits[Hypergeometric2F1[2, 2, 5/2, 1/4], 10, 120][[1]] (* _Vaclav Kotesovec_, Apr 10 2016 *)
%K cons,nonn
%O 1,2
%A _R. J. Mathar_, Oct 19 2015