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\begin{abstract}
We give closed forms for the series
$\sum_{m=1}^{\infty}\frac{(2x)^{2m+2k}}{m^{2}(m+k)  {2m \choose m}}$ and
$\sum_{m=1}^{\infty}\frac{(2x)^{2m}(-1)^{m+k}}{m^{2}(m+k)  {2m \choose
m}}$ for integers $k \geq 0$.  
\end{abstract}

\end{document}

