A390075 Decimal expansion of psi'''(3/4).

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

Offset

2,2

Comments

Decimal expansion of the third derivative of the digamma function at 3/4.

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 8*(Pi^4-96*A175572) = 8*(4/3)^3 * 5F4(3/4,3/4,3/4,3/4,1 ; 7/4,7/4,7/4,7/4 ;1).

Example

19.76331253485059976025407919024672322723952411730...

Maple

Psi(3, 3/4) ; evalf(%) ;

Mathematica

First[RealDigits[PolyGamma[3, 3/4], 10, 100]] (* Paolo Xausa, Nov 17 2025 *)

Prog

(PARI) psi'''(3/4) \\ Michel Marcus, Oct 23 2025

Crossrefs

Cf. A375772 (psi''(3/4)), A175572 (beta(4)).

Sequence in context: A380796 A021510 A199272 * A020840 A393897 A069181

Adjacent sequences: A390072 A390073 A390074 * A390076 A390077 A390078

Keyword

cons,nonn

Author

R. J. Mathar, Oct 23 2025

Status

approved