I'm looking for an expression by means of which the rational zeta series $$\sum_{k=2}^{\infty} \frac{\zeta(k)(-1)^{2k-1}}{k!} x^{k}$$ can be evaluated. Does such an expression exist?
2026-04-12 23:43:23.1776037403
Expression for $\sum_{k=2}^{\infty} \frac{\zeta(k)(-1)^{2k-1}}{k!} x^{k}$?
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