$\sum_{n\geq1}\frac{2^{n-1}}{1+a^{2n-1}}, a > 0$
I was considering the use of some power series, but to no end as the denominator of the fraction does no simply after derivation.
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What happend if $0\le a\le 2$? – Tito Eliatron Jan 29 '20 at 11:00
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yes it does, thank you – Tudor Podina Jan 29 '20 at 11:07