A365251 Decimal expansion of the absolute value of psi^(4)(1), the fourth derivative of the digamma function at 1.

2, 4, 8, 8, 6, 2, 6, 6, 1, 2, 3, 4, 4, 0, 8, 7, 8, 2, 3, 1, 9, 5, 2, 7, 7, 1, 6, 7, 4, 9, 6, 8, 8, 2, 0, 0, 3, 3, 3, 6, 9, 9, 4, 2, 0, 6, 8, 0, 4, 5, 9, 0, 7, 4, 8, 7, 3, 8, 0, 6, 2, 4, 2, 6, 9, 6, 9, 1, 2, 8, 6, 1, 5, 4, 8, 7, 0, 7, 5, 5, 6, 2, 9, 4, 4, 1, 0, 3, 4, 5, 5, 7

Offset

2,1

Links

Table of n, a(n) for n=2..93.

Formula

Equals 24*A013663.

Example

psi^(4)(1) = -24.88626612344087823195277167496882...

Maple

evalf(Psi(4, 1)) ;

Mathematica

RealDigits[24*Zeta[5], 10, 100][[1]] (* Amiram Eldar, Aug 29 2023 *)

Prog

(PARI) psi''''(1) \\ Michel Marcus, Aug 29 2023

Crossrefs

Cf. A013663, A231535 (3rd deriv), A152648 (2nd deriv), A013661 (1st deriv).

Sequence in context: A141532 A197000 A198428 * A357159 A083550 A160161

Adjacent sequences: A365248 A365249 A365250 * A365252 A365253 A365254

Keyword

cons,nonn

Author

R. J. Mathar, Aug 29 2023

Status

approved