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 A363716 Decimal expansion of Sum_{k>=2} (1/k!) * k-th derivative of zeta(k). 2
 9, 3, 6, 1, 9, 1, 3, 1, 9, 4, 0, 4, 4, 8, 7, 0, 5, 1, 6, 4, 1, 1, 9, 2, 0, 3, 4, 8, 0, 3, 1, 3, 4, 4, 8, 8, 2, 4, 7, 6, 7, 0, 6, 2, 7, 4, 0, 7, 2, 8, 3, 2, 7, 8, 8, 4, 3, 6, 1, 1, 9, 4, 5, 9, 9, 5, 8, 4, 7, 1, 7, 8, 9, 1, 6, 3, 7, 0, 0, 5, 6, 4, 9, 3, 3, 6, 3, 3, 8, 3, 9, 6, 2, 3, 6, 1, 1, 4, 5, 7, 2, 4, 8, 0, 2, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Robert G. Wilson v, Table of n, a(n) for n = 0..1000 (a(0)-a(105) from Vaclav Kotesovec) FORMULA Equals lim_{n->oo} (Sum_{m=1..n} 1/m^(1/m)) - n + log(n)^2/2 + sg1, where sg1 is the first Stieltjes constant (see A082633). EXAMPLE 0.9361913194044870516411920348031344882476706274072832788436119459958471789... MATHEMATICA digits = 120; d = 1; j = 2; s = 0; While[Abs[d] > 10^(-digits - 5), d = 1 / j! * Derivative[j][Zeta][j]; s += d; j++]; RealDigits[s, 10, 120][[1]] CROSSREFS Cf. A098572, A363704. Sequence in context: A230158 A307960 A224235 * A169849 A182547 A019737 Adjacent sequences: A363713 A363714 A363715 * A363717 A363718 A363719 KEYWORD nonn,cons AUTHOR Vaclav Kotesovec, Jun 17 2023 STATUS approved

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Last modified September 12 07:57 EDT 2024. Contains 375850 sequences. (Running on oeis4.)