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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))

$$\:\:{Prove}\:{that}\:\:\frac{\mathrm{6}}{\mathrm{673}}\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\mathrm{1}}{{n}^{\mathrm{2}} \begin{pmatrix}{\mathrm{2}{n}}\\{{n}}\end{pmatrix}}\:=\:\frac{\pi^{\mathrm{2}} }{\mathrm{2019}}\: \\ $$

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