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arXiv · 2404.05770

Evaluation of some alternating series involving the binomial coefficients $C(4n,2n)$

Kunle Adegoke·Robert Frontczak·Taras Goy
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Abstract

We evaluate in closed form several alternating infinite series involving the binomial coefficients $C(4n,2n)$ and $C(4n+2,2n+1)$ in the denominator. One of our results generalizes an identity that was obtained experimentally by Sprugnoli in 2006.

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Kunle Adegoke, Robert Frontczak, Taras Goy. 2024-04-07. Evaluation of some alternating series involving the binomial coefficients $C(4n,2n)$. https://arxiv.org/abs/2404.05770

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