OFFSET
1,3
COMMENTS
Sum_{k>=2} (-1)^k*Zeta(k)/k = A001620 (see MathWorld, formula 122).
LINKS
Eric Weisstein's MathWorld, Riemann Zeta Function
Wikipedia, Riemann Zeta Function
EXAMPLE
1.043402917574288733255289646671676030548470866046882561044570479769585...
MAPLE
evalf(Sum((-1)^j*Zeta(j)^2/j, j=2..infinity), 100);
MATHEMATICA
NSum[(-1)^k*Zeta[k]^2/k, {k, 2, Infinity}, WorkingPrecision -> 200, NSumTerms -> 100000]
PROG
(PARI) sumalt(k=2, (-1)^k*zeta(k)^2/k) \\ Michel Marcus, Mar 09 2019
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Mar 09 2019
STATUS
approved