A340442 Decimal expansion of zeta''(3), the second derivative of the Riemann zeta function at 3.

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

Offset

0,1

Links

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

Formula

Equals Sum_{k>=1} log(k)^2/k^3. - Amiram Eldar, May 28 2021

Example

0.239746917305387184244176549838881...

Maple

evalf(Zeta(2, 3.0), 100) ;

Mathematica

RealDigits[Zeta''[3], 10, 100][[1]] (* Amiram Eldar, May 28 2021 *)

Prog

(PARI) zeta''(3) \\ Michel Marcus, Jan 07 2021

Crossrefs

Cf. A201994, A340443.

Sequence in context: A267896 A199858 A357053 * A199963 A016634 A244257

Adjacent sequences: A340439 A340440 A340441 * A340443 A340444 A340445

Keyword

nonn,cons

Author

R. J. Mathar, Jan 07 2021

Status

approved