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 A263493 Decimal expansion of the generalized hypergeometric function 3F2(1/2, 3/2, 5/2; 2, 2;x) at x=1/4. 1

%I

%S 1,1,4,4,1,5,4,4,0,5,6,4,0,2,6,0,5,5,4,6,4,9,2,6,2,8,2,9,2,8,7,7,9,6,

%T 2,4,4,6,8,2,6,3,6,9,1,0,3,0,5,7,6,8,1,4,2,8,0,9,8,6,7,8,4,5,5,1,2,8,

%U 0,3,9,5,4,8,2,1,4,1,5,4,3,4,7,9,2,7,6,5,6,8,5,9,2,8,2,5,7,7,3,7,4,4,5,1,6,7,7,4,5,3,1,6,0,2,9,9,4

%N Decimal expansion of the generalized hypergeometric function 3F2(1/2, 3/2, 5/2; 2, 2;x) at x=1/4.

%C Multiplication with 3*Pi^2/64 gives 0.529328... = integral_{x=0..infinity} x*I_1(x)*K_1(x)^2 dx, where I and K are Modified Bessel Functions.

%e 1.1441544056402605546492628292877...

%t RealDigits[HypergeometricPFQ[{1/2, 3/2, 5/2}, {2, 2}, 1/4], 10, 120][[1]] (* _Vaclav Kotesovec_, Apr 10 2016 *)

%K cons,nonn

%O 1,3

%A _R. J. Mathar_, Oct 19 2015

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Last modified September 17 11:16 EDT 2021. Contains 347478 sequences. (Running on oeis4.)