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Question Number 171094 by amin96 last updated on 07/Jun/22

$$\mathbf{prove}\mathbf{that}:$$$$\mathbf{\Omega }=\underset{\mathbf{n}=0}{\sum ^{\mathrm{\infty }}}{\left(\frac{{(\mathbf{n}!)}^2}{\left(2\mathbf{n}\right)!}\right)}^2\frac{2^{4\mathbf{n}}}{{(2\mathbf{n}+1)}^3}\stackrel{?}{=}\frac{7}{2}\mathit{\zeta }\left(3\right)-\pi \mathbf{G}$$$$\mathbf{G}-{\mathbf{Catalan}}^{\prime }\mathbf{s}\mathbf{constant}$$

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