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

0,1

Links

Table of n, a(n) for n=0..76.

Wikipedia, Riemann Zeta Function.

Index entries for constants related to Zeta

Formula

Lim_{k->infinity} (3/2*k^(2/3) - Sum_{i=1..k} i^(-1/3)). - Jinyuan Wang, Jun 20 2020

Example

zeta(1/3) = -0.97336024835078271546888....

Maple

Zeta(1/3) ; evalf(%) ;

Mathematica

RealDigits[Zeta[1/3], 10, 120][[1]] (* Amiram Eldar, May 31 2023 *)

Prog

(PARI) -zeta(1/3) \\ Jinyuan Wang, Jun 20 2020

Crossrefs

Cf. A002117, A013661, A059750.

Sequence in context: A307229 A002205 A363766 * A033873 A260880 A135449

Adjacent sequences: A251731 A251732 A251733 * A251735 A251736 A251737

Keyword

nonn,cons

Author

R. J. Mathar, Dec 07 2014

Status

approved