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
Examples
0.590735855511984251590434820597746794429756999963932327463401417614129...
Links
- Eric Weisstein's MathWorld, Riemann Zeta Function
- Wikipedia, Riemann Zeta Function
Programs
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Maple
evalf(Sum((-1)^k*Zeta(k)*Zeta(3*k)/k, k=2..infinity), 120);
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PARI
sumalt(k=2, (-1)^k*zeta(k)*zeta(3*k)/k)