cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A375771 #9 Aug 27 2024 09:13:05
%S A375771 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,
%T A375771 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,
%U A375771 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
%N A375771 Decimal expansion of the absolute value of the second derivative of the digamma function at 1/4.
%H A375771 Ernst D. Krupnikov and K. S. Kolbig, <a href="https://doi.org/10.1016/S0377-0427(96)00111-2">Some special cases of the generalized hypergeometric function _{q+1}F_q</a>, J. Comp. Appl. Math. 78 (1997) 79-95.
%F A375771 psi''(1/4) = -2*(Pi^3+28*zeta(3)).
%e A375771 psi''(1/4) = -129.3277399...
%p A375771 2*(Pi^3+28*Zeta(3)); evalf(%) ;
%t A375771 RealDigits[PolyGamma[2, 1/4], 10, 105][[1]] (* _Vaclav Kotesovec_, Aug 27 2024 *)
%Y A375771 Cf. A020777 (psi(1/4)), A282823 (psi'(1/4)).
%K A375771 nonn,cons
%O A375771 3,2
%A A375771 _R. J. Mathar_, Aug 27 2024