I would like to ask how do I prove this chain fraction equality? \begin{equation} \frac{4}{\pi} = 1+{\raise{-0.8ex}\mathop{\huge\mathrm{K}}_{n=1}^{\infty}}\left[\frac{(2n-1)^2}{2}\right]= 1+\cfrac{1}{2+\cfrac{9}{2+\cfrac{25}{2+ \ddots}}} \end{equation} Thank you in advance.
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1https://www.maa.org/sites/default/files/pdf/pubs/amm_supplements/Monthly_Reference_11.pdf – גלעד ברקן May 29 '19 at 00:25
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1This book might also be helpful: http://www.gimnazija-izdijankoveckoga-kc.skole.hr/upload/gimnazija-izdijankoveckoga-kc/multistatic/387/EleAna.pdf – גלעד ברקן May 29 '19 at 01:31
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Thank you very much. – Jun 11 '19 at 09:55
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Related. – metamorphy Jul 15 '20 at 00:35