Abstract
The series $\sum_{k=1}^{\infty}\frac{k^{2^l}}{3^k}$ is the case z = $\frac{1}{3}$, $s = -2^l$ of the polylogarithm function $\mathrm{Li}_s(z) = \sum_{k=1}^{\infty}\frac{z^k}{k^s}$. We show that the value of the series is an integer if $l$ is an integer greater than one.
Citation
Simon Aloff. "A Family of Infinite Series Taking Integer Values." Missouri J. Math. Sci. 34 (1) 1 - 18, May 2022. https://doi.org/10.35834/2022/3401001
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