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A354634
Decimal expansion of the negated digamma function at 5/8.
1
1, 4, 5, 2, 7, 0, 8, 7, 6, 4, 5, 7, 6, 5, 6, 6, 5, 6, 7, 2, 1, 0, 7, 8, 1, 6, 1, 2, 0, 2, 3, 3, 7, 7, 2, 9, 0, 8, 3, 4, 0, 4, 3, 1, 0, 3, 6, 8, 7, 5, 1, 7, 9, 0, 8, 4, 3, 5, 8, 3, 2, 2, 1, 3, 3, 4, 1, 7, 9, 3, 0, 1, 2, 1, 5, 5, 7, 8, 2, 7, 1, 6, 4, 5, 1, 4, 1, 6, 1, 7, 0
OFFSET
1,2
FORMULA
Equals sqrt(2)*arcsinh(1) - 4*log(2) + (sqrt(2)-1)*Pi/2 - gamma, where gamma is Euler's constant (A001620). - Amiram Eldar, Jun 03 2022
EXAMPLE
psi(5/8) = -1.45270876457656...
MATHEMATICA
RealDigits[PolyGamma[5/8], 10, 100][[1]] (* Amiram Eldar, Jun 03 2022 *)
CROSSREFS
Sequence in context: A178040 A090201 A130144 * A118472 A356151 A194880
KEYWORD
nonn,cons
AUTHOR
R. J. Mathar, Jun 01 2022
STATUS
approved