cp's OEIS Frontend

A222458 Decimal expansion of the negated value of the digamma function at 5/6.

%I A222458 #19 Feb 16 2025 08:33:19
%S A222458 8,9,0,7,2,9,4,1,2,6,7,2,2,6,1,2,4,0,6,4,2,7,2,6,8,0,1,9,1,9,3,1,0,5,
%T A222458 2,5,7,3,8,2,9,6,0,6,9,2,5,5,4,4,7,4,2,1,2,9,4,3,4,1,3,5,1,2,4,5,7,1,
%U A222458 1,6,3,8,8,5,5,4,3,6,7,2,6,9,3,2,9,0,9
%N A222458 Decimal expansion of the negated value of the digamma function at 5/6.
%H A222458 Vincenzo Librandi, <a href="/A222458/b222458.txt">Table of n, a(n) for n = 0..5000</a>
%H A222458 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GausssDigammaTheorem.html">Gauss's Digamma Theorem</a>.
%H A222458 Wikipedia, <a href="http://en.wikipedia.org/wiki/Digamma_function#Gauss.27s_digamma_theorem">Digamma function: Gauss's digamma theorem</a>.
%H A222458 <a href="/index/Di#differential_equations">Index entries for sequences related to the digamma function</a>
%F A222458 Psi(5/6) = -gamma + Pi*sqrt(3)/2 - 3*log(3)/2 - 2*log(2).
%e A222458 Psi(5/6) = -0.890729412672261240642726801919310525738296...
%t A222458 RealDigits[-PolyGamma[5/6], 10, 90][[1]]
%o A222458 (PARI) -psi(5/6)
%o A222458 (Maxima) fpprec:90; ev(bfloat(-psi[0](5/6)));
%Y A222458 Cf. A020759, A047787, A200064, A222457.
%K A222458 nonn,cons
%O A222458 0,1
%A A222458 _Bruno Berselli_, Feb 21 2013