A340443 Decimal expansion of zeta''(4), the second derivative of the Riemann zeta function at 4.

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

Offset

-1,1

Links

Table of n, a(n) for n=-1..102.

Formula

Equals Sum_{k>=1} log(k)^2/k^4. - Amiram Eldar, May 28 2021

Example

0.06505816136788066186035476173657024...

Maple

Digits := 100 ; evalf(Zeta(2, 4)) ;

Mathematica

RealDigits[Zeta''[4], 10, 100][[1]] (* Amiram Eldar, May 28 2021 *)

Prog

(PARI) zeta''(4) \\ Michel Marcus, Jan 07 2021

Crossrefs

Cf. A201994, A340442.

Sequence in context: A273487 A134103 A196621 * A096434 A193355 A248922

Adjacent sequences: A340440 A340441 A340442 * A340444 A340445 A340446

Keyword

nonn,cons

Author

R. J. Mathar, Jan 07 2021

Status

approved