cp's OEIS Frontend

A222457 Decimal expansion of the negated value of the digamma function at 1/6.

%I A222457 #24 Feb 16 2025 08:33:19
%S A222457 6,3,3,2,1,2,7,5,0,5,3,7,4,9,1,4,7,9,2,4,2,4,9,6,1,5,7,4,8,4,5,7,7,7,
%T A222457 7,2,2,5,9,0,4,9,4,8,1,3,5,3,3,6,6,9,1,4,8,0,0,3,9,9,6,1,5,7,4,1,0,0,
%U A222457 8,1,1,8,2,2,3,4,4,9,8,3,7,7,9,8,5,2,8
%N A222457 Decimal expansion of the negated value of the digamma function at 1/6.
%H A222457 Vincenzo Librandi, <a href="/A222457/b222457.txt">Table of n, a(n) for n = 1..5000</a>
%H A222457 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
%H A222457 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GausssDigammaTheorem.html">Gauss's Digamma Theorem</a>.
%H A222457 Wikipedia, <a href="http://en.wikipedia.org/wiki/Digamma_function#Special_values">Digamma function: special values</a>.
%H A222457 <a href="/index/Di#differential_equations">Index entries for sequences related to the digamma function</a>
%F A222457 Psi(1/6) = -gamma -Pi*sqrt(3)/2 -3*log(3)/2 -2*log(2).
%e A222457 Psi(1/6) = -6.3321275053749147924249615748457777225904948...
%t A222457 RealDigits[-PolyGamma[1/6], 10, 90][[1]]
%o A222457 (PARI) -psi(1/6)
%o A222457 (Maxima) fpprec:90; ev(bfloat(-psi[0](1/6)));
%Y A222457 Cf. A020759, A047787, A200064, A222458.
%K A222457 nonn,cons
%O A222457 1,1
%A A222457 _Bruno Berselli_, Feb 21 2013