Question Number 68257 by ~ À ® @ 237 ~ last updated on 07/Sep/19
![Prove that (6/(673)) Σ_(n=1) ^∞ (1/(n^2 (((2n)),(n) ))) = (π^2 /(2019))](https://www.tinkutara.com/question/Q68257.png)
$$\:\:{Prove}\:{that}\:\:\frac{\mathrm{6}}{\mathrm{673}}\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\mathrm{1}}{{n}^{\mathrm{2}} \begin{pmatrix}{\mathrm{2}{n}}\\{{n}}\end{pmatrix}}\:=\:\frac{\pi^{\mathrm{2}} }{\mathrm{2019}}\: \\ $$