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A306778 Decimal expansion of Sum_{k>=2} (-1)^k * zeta(k) * zeta(3*k) / k. 4
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 (list; constant; graph; refs; listen; history; text; internal format)
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

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Last modified May 25 03:39 EDT 2022. Contains 354047 sequences. (Running on oeis4.)