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A263494 Decimal expansion of the generalized hypergeometric function 3F2(3/2, 3/2, 3/2; 1, 2; x) at x=1/4. 1

%I #6 Apr 10 2016 05:50:21

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

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

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

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

%C Multiplication with Pi^2/32 gives 0.4984666... = integral_{x=0..infinity} x^2*I_0(x)*K_0(x)^2 dx, where I and K are Modified Bessel Functions.

%e 1.6161673581614700614732...

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

%K nonn,cons

%O 1,2

%A _R. J. Mathar_, Oct 19 2015

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)