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

2024/04/07 by Adegoke, Kunle, Frontczak, Robert, Goy, Taras · 1 citation
#11B37 #11B39 #40A30 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2404.05770

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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• On Some Series Involving the Central Binomial Coefficients

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