A319026 - OEIS

A319026

Decimal expansion of Psi(3).

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

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OFFSET

0,1

COMMENTS

Psi(x) is the digamma function (logarithmic derivative of the Gamma function).

LINKS

Table of n, a(n) for n=0..83.

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

Cf. A001620, A153810.