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

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

Offset

1,2

Comments

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.

Links

Table of n, a(n) for n=1..92.

Example

1.6161673581614700614732...

Mathematica

RealDigits[HypergeometricPFQ[{3/2, 3/2, 3/2}, {1, 2}, 1/4], 10, 120][[1]] (* Vaclav Kotesovec, Apr 10 2016*)

Crossrefs

Sequence in context: A176355 A109918 A339433 * A096956 A326126 A078300

Adjacent sequences: A263491 A263492 A263493 * A263495 A263496 A263497

Keyword

nonn,cons

Author

R. J. Mathar, Oct 19 2015

Status

approved