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

%I #18 Jun 02 2022 05:44:31

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

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

%H Vincenzo Librandi, <a href="/A222458/b222458.txt">Table of n, a(n) for n = 0..5000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/GausssDigammaTheorem.html">Gauss's Digamma Theorem</a>.

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Digamma_function#Gauss.27s_digamma_theorem">Digamma function: Gauss's digamma theorem</a>.

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

%F Psi(5/6) = -gamma + Pi*sqrt(3)/2 - 3*log(3)/2 - 2*log(2).

%e Psi(5/6) = -0.890729412672261240642726801919310525738296...

%t RealDigits[-PolyGamma[5/6], 10, 90][[1]]

%o (PARI) -psi(5/6)

%o (Maxima) fpprec:90; ev(bfloat(-psi[0](5/6)));

%Y Cf. A020759, A047787, A200064, A222457.

%K nonn,cons

%O 0,1

%A _Bruno Berselli_, Feb 21 2013

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Last modified June 12 23:56 EDT 2024. Contains 373362 sequences. (Running on oeis4.)