A251735 Decimal expansion of Sum_{n>=1} (-1)^(n+1)/n^(1/3).

5, 7, 1, 7, 5, 2, 8, 3, 3, 8, 2, 5, 2, 7, 7, 6, 6, 4, 9, 3, 6, 4, 7, 5, 6, 8, 1, 1, 3, 6, 0, 3, 2, 6, 5, 5, 2, 4, 3, 1, 4, 8, 1, 5, 7, 4, 7, 3, 2, 5, 4, 1, 1, 5, 8, 0, 6, 1, 4, 7, 5, 0, 8, 2, 8, 0, 3, 1, 8, 4, 9, 1, 1, 9, 3, 9, 9, 3

Offset

0,1

Comments

Cubic root analog of A113024.

Links

G. C. Greubel, Table of n, a(n) for n = 0..10000

Formula

Equals 1 - 1/A002580 + 1/A002581 - 1/A005480 + ... = A251734 *(1 - A005480).

Example

0.57175283382527766493...

Maple

Zeta(1/3)*(1-root[3](4)) ; evalf(%) ;

Mathematica

RealDigits[-Zeta[1/3]*(4^(1/3) - 1), 10, 100][[1]] (* G. C. Greubel, Apr 15 2018 *)

Prog

(PARI) -zeta(1/3)*(4^(1/3)-1) \\ Charles R Greathouse IV, Apr 20 2016

Crossrefs

Cf. A005480, A113024, A251734.

Sequence in context: A160631 A155066 A343480 * A232811 A316132 A261159

Adjacent sequences: A251732 A251733 A251734 * A251736 A251737 A251738

Keyword

cons,nonn

Author

R. J. Mathar, Dec 07 2014

Status

approved