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
Examples
0.239746917305387184244176549838881...
Programs
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Maple
evalf(Zeta(2,3.0),100) ;
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Mathematica
RealDigits[Zeta''[3], 10, 100][[1]] (* Amiram Eldar, May 28 2021 *)
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PARI
zeta''(3) \\ Michel Marcus, Jan 07 2021
Formula
Equals Sum_{k>=1} log(k)^2/k^3. - Amiram Eldar, May 28 2021