A387592 Decimal expansion of exp(1/12)/A074962, where A074962 is the Glaisher-Kinkelin constant.

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

Offset

0,1

Links

Table of n, a(n) for n=0..104.

Formula

Equals lim_{n->oo} G(n+1) / ( n^(n^2/2 - 1/12) * (2*Pi)^(n/2) * exp(-3*n^2/4) ), where G(n) is the Barnes G-function.

Equals exp(zeta'(-1)) = exp(-A084448). - Amiram Eldar, Sep 03 2025

Example

0.84753669417730129102840341008651604580320351950103...

Mathematica

RealDigits[Exp[1/12]/Glaisher, 10, 120][[1]] (* Amiram Eldar, Sep 03 2025 *)

Prog

(PARI) exp(zeta'(-1)) \\ Amiram Eldar, Sep 03 2025

Crossrefs

Cf. A000796, A001113, A074962, A084448, A087013.

Sequence in context: A389048 A110233 A388189 * A388920 A388518 A388758

Adjacent sequences: A387589 A387590 A387591 * A387593 A387594 A387595

Keyword

nonn,cons

Author

Anonymous, Sep 02 2025

Status

approved