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

Offset: 0

Author

Patrick C. Schneider, Sep 08 2018

Keywords

• nonn
• cons

Comments

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

Examples

			0.92278433509846713939348790...
		

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].

Crossrefs

Cf. A001620, A153810.

Programs

Maple

evalf(Psi(3.0)) ; - R. J. Mathar, Aug 29 2023

Mathematica

RealDigits[3/2 - EulerGamma, 10, 100][[1]] (* Amiram Eldar, May 24 2023 *)

PARI

psi(3)

Formula

Psi(3) = Psi(2) + 1/2 = 3/2 - gamma, with gamma = A001620 and Psi(2) = A153810. - Wolfdieter Lang, Oct 05 2018