Fibonacci-Catalan Series
Combinatorics
2022-04-12 v1 Number Theory
Abstract
We study certain series with Catalan numbers and reciprocal Catalan numbers, respectively, and provide seemingly new closed form evaluations of these series with Fibonacci (Lucas) entries. In addition, we state some combinatorial sums that can be inferred from the series.
Cite
@article{arxiv.2204.04535,
title = {Fibonacci-Catalan Series},
author = {Kunle Adegoke and Robert Frontczak and Taras Goy},
journal= {arXiv preprint arXiv:2204.04535},
year = {2022}
}
Comments
18 pages, no figures or tables