A377008 - OEIS

A377008

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

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

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OFFSET

0,1

REFERENCES

H. M. Srivastava and Junesang Choi, Zeta and q-Zeta Functions and Associated Series and Integrals, Elsevier Insights, 2011, p. 272, eq. (29).

LINKS

Table of n, a(n) for n=0..104.

Eric Weisstein's MathWorld, Riemann Zeta Function.

Wikipedia, Riemann zeta function.

FORMULA

Equals log(4*Pi/(3*sqrt(3))) = log(A275486).

Equals log(Gamma(1/3)*Gamma(5/3)).