Series Associated with Harmonic Numbers, Fibonacci Numbers and Central Binomial Coefficients $\binom{2n}{n}$
Number Theory
2024-05-28 v1 Combinatorics
Abstract
We find various series that involves the central binomial coefficients , harmonic numbers and Fibonacci Numbers.\\ Contrary to the traditional hypergeometric function approach, our method utilizes a straightforward transformation to obtain new evaluations linked to Fibonacci numbers and the golden ratio. Before the end of this paper, we also gave a new series representation for .
Keywords
Cite
@article{arxiv.2405.16814,
title = {Series Associated with Harmonic Numbers, Fibonacci Numbers and Central Binomial Coefficients $\binom{2n}{n}$},
author = {Akerele Olofin Segun},
journal= {arXiv preprint arXiv:2405.16814},
year = {2024}
}
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9 pages