A222458 Decimal expansion of the negated value of the digamma function at 5/6.
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, 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, 1, 6, 3, 8, 8, 5, 5, 4, 3, 6, 7, 2, 6, 9, 3, 2, 9, 0, 9
Offset: 0
Examples
Psi(5/6) = -0.890729412672261240642726801919310525738296...
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..5000
- Eric Weisstein's World of Mathematics, Gauss's Digamma Theorem.
- Wikipedia, Digamma function: Gauss's digamma theorem.
- Index entries for sequences related to the digamma function
Programs
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Mathematica
RealDigits[-PolyGamma[5/6], 10, 90][[1]]
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Maxima
fpprec:90; ev(bfloat(-psi[0](5/6)));
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PARI
-psi(5/6)
Formula
Psi(5/6) = -gamma + Pi*sqrt(3)/2 - 3*log(3)/2 - 2*log(2).