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%I #12 Jun 02 2022 05:45:17
%S 8,3,8,8,4,9,2,6,6,3,2,9,5,8,5,4,8,6,7,8,0,2,7,4,2,9,2,3,0,8,6,3,4,3,
%T 0,0,0,0,5,1,4,4,6,0,4,2,4,4,9,4,7,7,1,4,3,1,1,6,0,8,6,9,2,4,6,8,2,9,
%U 0,7,8,2,3,4,4,3,3,1,3,3,4,8,8,9,7,4,1,9,3,9,7,8,0,2,1,1,5,9,0,8,4,9,4,5,8
%N Decimal expansion of the negated value of the digamma function at 1/8.
%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/GausssDigammaTheorem.html">Gauss's Digamma Theorem</a>.
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Digamma_function#Special_values">Digamma function: special values</a>.
%H <a href="/index/Di#differential_equations">Index entries for sequences related to the digamma function</a>
%F Psi(1/8) = -gamma - (1/2)*(1+sqrt(2))*Pi - sqrt(2)*arccoth(sqrt(2)) - 4*log(2).
%e Psi(1/8) = -8.388492663295854867802742923086343000051446...
%t RealDigits[PolyGamma[1/8], 10, 105] // First
%o (PARI) -psi(1/8) \\ _Charles R Greathouse IV_, Jan 15 2015
%Y Cf. A020759, A020777, A047787, A200064, A222457, A222458.
%K nonn,cons,easy
%O 1,1
%A _Jean-François Alcover_, Jan 15 2015
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