A375771 Decimal expansion of the absolute value of the second derivative of the digamma function at 1/4.

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

Offset: 3

Author

R. J. Mathar, Aug 27 2024

Keywords

• nonn
• cons

Examples

			psi''(1/4) = -129.3277399...
		

Links

• Ernst D. Krupnikov and K. S. Kolbig, Some special cases of the generalized hypergeometric function _{q+1}F_q, J. Comp. Appl. Math. 78 (1997) 79-95.

Crossrefs

Cf. A020777 (psi(1/4)), A282823 (psi'(1/4)).

Programs

Maple

2*(Pi^3+28*Zeta(3)); evalf(%) ;

Mathematica

RealDigits[PolyGamma[2, 1/4], 10, 105][[1]] (* Vaclav Kotesovec, Aug 27 2024 *)

Formula

psi''(1/4) = -2*(Pi^3+28*zeta(3)).