A390076 Decimal expansion of psi'(1/6).

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

Offset

2,1

Comments

Decimal expansion of the trigamma function at 1/6.

Links

Paolo Xausa, Table of n, a(n) for n = 2..10000

E. D. Krupnikov and K. S. Kölbig, Some special cases of the generalized hypergeometric function _{q+1}F_q, J. Comp. Appl. Math. 78 (1997) 79-95.

Index entries for sequences related to the digamma function

Formula

Equals 5*psi'(1/3)-4*Pi^2/3 = 5*A390072 -4*Pi^2/3 = 36*A086727.

Example

37.31851309234965891718069916629438028884292138675...

Maple

Psi(1, 1/6) ; evalf(%) ;

Mathematica

First[RealDigits[PolyGamma[1, 1/6], 10, 100]] (* Paolo Xausa, Nov 17 2025 *)

Prog

(PARI) psi'(1/6) \\ Michel Marcus, Oct 23 2025

Crossrefs

Cf. A222457 (psi(1/6)), A390072 (psi'(1/3)).

Sequence in context: A296442 A021272 A135613 * A019973 A010623 A283245

Adjacent sequences: A390073 A390074 A390075 * A390077 A390078 A390079

Keyword

cons,nonn

Author

R. J. Mathar, Oct 23 2025

Status

approved