A251734 Decimal expansion of the absolute value of zeta(1/3).
9, 7, 3, 3, 6, 0, 2, 4, 8, 3, 5, 0, 7, 8, 2, 7, 1, 5, 4, 6, 8, 8, 8, 6, 8, 6, 2, 4, 4, 7, 8, 9, 6, 5, 7, 0, 7, 7, 2, 8, 2, 9, 6, 3, 1, 7, 4, 3, 0, 5, 3, 3, 3, 9, 9, 4, 5, 3, 5, 8, 1, 4, 4, 6, 2, 1, 0, 8, 5, 1, 8, 2, 8, 1, 3, 3, 9
Offset: 0
Examples
zeta(1/3) = -0.97336024835078271546888....
Links
Programs
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Maple
Zeta(1/3) ; evalf(%) ;
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Mathematica
RealDigits[Zeta[1/3], 10, 120][[1]] (* Amiram Eldar, May 31 2023 *)
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PARI
-zeta(1/3) \\ Jinyuan Wang, Jun 20 2020
Formula
Lim_{k->infinity} (3/2*k^(2/3) - Sum_{i=1..k} i^(-1/3)). - Jinyuan Wang, Jun 20 2020