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arXiv · 2411.11884

On some Series involving Reciprocals of $\binom{2n}{n}$ and the Catalan's Constant $G$

Olofin Akerele·Quadri Adeshina
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Abstract

We investigate a class of combinatorial sums involving reciprocals of central binomial coefficients , employing generating functions as the primary solution technique to formulate and analyze series involving the Catalan's constant. Using a direct approach, we derive new identities through integral techniques.

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Olofin Akerele, Quadri Adeshina. 2024-11-05. On some Series involving Reciprocals of $\binom{2n}{n}$ and the Catalan's Constant $G$. https://arxiv.org/abs/2411.11884

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