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A306778 Decimal expansion of Sum_{k>=2} (-1)^k * zeta(k) * zeta(3*k) / k. 4

%I #5 Mar 09 2019 10:35:11

%S 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,

%T 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,

%U 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

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

%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/RiemannZetaFunction.html">Riemann Zeta Function</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Riemann_zeta_function">Riemann Zeta Function</a>

%e 0.590735855511984251590434820597746794429756999963932327463401417614129...

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

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

%Y Cf. A306769, A306774, A324597.

%K nonn,cons

%O 0,1

%A _Vaclav Kotesovec_, Mar 09 2019

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