A306774 Decimal expansion of Sum_{k>=2} (-1)^k * zeta(k) * zeta(2*k) / k.

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

Offset

0,1

Links

Table of n, a(n) for n=0..105.

Eric Weisstein's MathWorld, Riemann Zeta Function

Wikipedia, Riemann Zeta Function

Formula

Equals log(A303670) + A001620 * Pi^2/6.

Example

0.63890616261627409120639827814111749882843891313511598351855454505483176209...

Maple

evalf(Sum((-1)^k*Zeta(k)*Zeta(2*k)/k, k=2..infinity), 100);

Prog

(PARI) sumalt(k=2, (-1)^k*zeta(k)*zeta(2*k)/k)

Crossrefs

Cf. A303670, A306769, A306778.

Sequence in context: A268893 A199447 A273067 * A301429 A198836 A271179

Adjacent sequences: A306771 A306772 A306773 * A306775 A306776 A306777

Keyword

nonn,cons

Author

Vaclav Kotesovec, Mar 09 2019

Status

approved