A256930 Decimal expansion of Sum_{k>=1} (zeta(2k)/k)*(2/3)^(2k).

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

Offset

1,2

References

H. M. Srivastava and Junesang Choi, Zeta and q-Zeta Functions and Associated Series and Integrals, Elsevier Insights (2011) p. 272.

Links

Table of n, a(n) for n=1..107.

Eric Weisstein's MathWorld, Riemann Zeta Function

Wikipedia, Riemann Zeta Function

Formula

log(Gamma(1/4)*Gamma(7/4)).

Equals log(3*Pi/(2*sqrt(2))).

Example

1.2036214036775919014128244060883195641815351691976781420672...

Mathematica

RealDigits[Log[3*Pi/(2*Sqrt[2])], 10, 107] // First

Prog

(PARI) log(3*Pi/(2*sqrt(2))) \\ Michel Marcus, Apr 13 2015

Crossrefs

Cf. A068466, A203130, A256929.

Sequence in context: A362788 A262256 A011120 * A226210 A194737 A071089

Adjacent sequences: A256927 A256928 A256929 * A256931 A256932 A256933

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Apr 13 2015

Status

approved