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A375772
Decimal expansion of the absolute value of the second derivative of the digamma function at 3/4.
0
5, 3, 0, 2, 6, 3, 3, 2, 1, 6, 3, 3, 7, 6, 3, 9, 6, 3, 1, 4, 3, 2, 7, 0, 6, 9, 1, 0, 4, 3, 8, 4, 0, 9, 0, 7, 8, 3, 8, 8, 6, 5, 5, 2, 3, 9, 2, 9, 7, 7, 2, 1, 9, 9, 2, 0, 7, 8, 1, 3, 0, 8, 9, 1, 5, 3, 0, 1, 4, 9, 6, 8, 9, 1, 0, 2, 1, 2, 0, 9, 7, 5, 3, 0, 8, 1, 2, 6, 8, 5, 6, 9, 1, 7, 0, 0, 2, 0, 7, 0, 1, 2, 6, 9, 0
OFFSET
1,1
LINKS
Ernst D. Krupnikov and K. S. Kolbig, Some special cases of the generalized hypergeometric function _{q+1}F_q, J. Comp. Appl. Math. 78 (1997) 79-95.
FORMULA
psi''(3/4) = 2*(Pi^3-28*zeta(3)).
EXAMPLE
psi''(3/4) = -5.3026332163376396314327...
MAPLE
2*(Pi^3-28*Zeta(3)); evalf(%) ;
MATHEMATICA
RealDigits[PolyGamma[2, 3/4], 10, 105][[1]] (* Vaclav Kotesovec, Aug 27 2024 *)
CROSSREFS
Cf. A200134 (psi(3/4)), A282824 (psi'(3/4)).
Sequence in context: A077602 A238008 A375837 * A193547 A144481 A374172
KEYWORD
nonn,cons
AUTHOR
R. J. Mathar, Aug 27 2024
STATUS
approved