Evaluation of some alternating series involving the binomial coefficients $C(4n,2n)$
Number Theory
2024-04-10 v1
Abstract
We evaluate in closed form several alternating infinite series involving the binomial coefficients and in the denominator. One of our results generalizes an identity that was obtained experimentally by Sprugnoli in 2006.
Keywords
Cite
@article{arxiv.2404.05770,
title = {Evaluation of some alternating series involving the binomial coefficients $C(4n,2n)$},
author = {Kunle Adegoke and Robert Frontczak and Taras Goy},
journal= {arXiv preprint arXiv:2404.05770},
year = {2024}
}