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A319026
Decimal expansion of Psi(3).
0
9, 2, 2, 7, 8, 4, 3, 3, 5, 0, 9, 8, 4, 6, 7, 1, 3, 9, 3, 9, 3, 4, 8, 7, 9, 0, 9, 9, 1, 7, 5, 9, 7, 5, 6, 8, 9, 5, 7, 8, 4, 0, 6, 6, 4, 0, 6, 0, 0, 7, 6, 4, 0, 1, 1, 9, 4, 2, 3, 2, 7, 6, 5, 1, 1, 5, 1, 3, 2, 2, 7, 3, 2, 2, 2, 3, 3, 5, 3, 2, 9, 0, 6, 3
OFFSET
0,1
COMMENTS
Psi(x) is the digamma function (logarithmic derivative of the Gamma function).
LINKS
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972, pp. 258-259 [alternative scanned copy].
FORMULA
Psi(3) = Psi(2) + 1/2 = 3/2 - gamma, with gamma = A001620 and Psi(2) = A153810. - Wolfdieter Lang, Oct 05 2018
EXAMPLE
0.92278433509846713939348790...
MAPLE
evalf(Psi(3.0)) ; - R. J. Mathar, Aug 29 2023
MATHEMATICA
RealDigits[3/2 - EulerGamma, 10, 100][[1]] (* Amiram Eldar, May 24 2023 *)
PROG
(PARI) psi(3)
CROSSREFS
Sequence in context: A340809 A200298 A110543 * A228584 A021056 A132719
KEYWORD
nonn,cons
AUTHOR
STATUS
approved