A263354 Decimal expansion of the generalized hypergeometric function 3F2(1/2,3/2,3/2; 5/2,5/2;x) at x=1/2.

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

Offset: 1

Author

R. J. Mathar, Oct 16 2015

Keywords

• nonn
• cons

Examples

			1.113463780929017366397176...
		

Links

• R. J. Mathar, Yet another table of integrals, arXiv:1207.5845 [math.CA], 2012-2024, Eq. (9.82).

Crossrefs

Cf. A000796, A010487, A244009, A247685.

Programs

Maple

evalf(hypergeom([1/2,3/2,3/2],[5/2,5/2],1/2)) ;

Mathematica

RealDigits[9*(4*Catalan - 2 + Pi*(Log[2] - 1))/(4*Sqrt[2]), 10, 120][[1]] (* Amiram Eldar, Aug 23 2024 *)

Formula

Equals 9*(4*Catalan-2+Pi*(log 2 -1))/(4*sqrt(2)) = 9*(A247685 -2 - A000796 * A244009) / A010487.