login
A340442
Decimal expansion of zeta''(3), the second derivative of the Riemann zeta function at 3.
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
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
Sequence in context: A267896 A199858 A357053 * A199963 A016634 A244257
KEYWORD
nonn,cons
AUTHOR
R. J. Mathar, Jan 07 2021
STATUS
approved