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Decimal expansion of the negated digamma function at 7/8.
1

%I #9 Jun 10 2024 00:19:26

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

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

%U 6,6,2,4,0,5,7,6,3,0,4,3,9,6,9,4,0,5,7,6,3,7,6

%N Decimal expansion of the negated digamma function at 7/8.

%H <a href="/index/Di#differential_equations">Index entries for sequences related to the digamma function</a>

%F Equals (sqrt(2)+1)*Pi/2 - sqrt(2)*arcsinh(1) - 4*log(2) - gamma, where gamma is Euler's constant (A001620). - _Amiram Eldar_, Jun 03 2022

%e psi(7/8) = -0.80401707154769...

%t RealDigits[PolyGamma[7/8], 10, 100][[1]] (* _Amiram Eldar_, Jun 03 2022 *)

%Y Cf. A001620, A091648.

%K nonn,cons

%O 0,1

%A _R. J. Mathar_, Jun 01 2022