Question Number 140798 by Dwaipayan Shikari last updated on 12/May/21
$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{{n}^{\mathrm{3}} \begin{pmatrix}{\mathrm{4}{n}}\\{{n}}\end{pmatrix}} \\ $$
Commented by john_santu last updated on 14/May/21
$$\:\frac{\pi}{\mathrm{3}\sqrt{\mathrm{3}}} \\ $$