A306778 Decimal expansion of Sum_{k>=2} (-1)^k * zeta(k) * zeta(3*k) / k.

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

Offset

0,1

Links

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

Eric Weisstein's MathWorld, Riemann Zeta Function

Wikipedia, Riemann Zeta Function

Example

0.590735855511984251590434820597746794429756999963932327463401417614129...

Maple

evalf(Sum((-1)^k*Zeta(k)*Zeta(3*k)/k, k=2..infinity), 120);

Prog

(PARI) sumalt(k=2, (-1)^k*zeta(k)*zeta(3*k)/k)

Crossrefs

Cf. A306769, A306774, A324597.

Sequence in context: A342714 A261623 A298515 * A019705 A269957 A201676

Adjacent sequences: A306775 A306776 A306777 * A306779 A306780 A306781

Keyword

nonn,cons

Author

Vaclav Kotesovec, Mar 09 2019

Status

approved