A256930 - OEIS

A256930

Decimal expansion of Sum_{k>=1} (zeta(2*k)/k)*(3/4)^(2*k).

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

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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, eq. (31).

LINKS

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

Eric Weisstein's MathWorld, Riemann Zeta Function.

Wikipedia, Riemann zeta function.

FORMULA

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

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