Binomial sum relations involving Fibonacci and Lucas numbers
Combinatorics
2023-10-06 v1
Abstract
In this paper, we introduce relations between binomial sums involving (generalized) Fibonacci and Lucas numbers, and different kinds of binomial coefficients. We also present some relations between sums with two and three binomial coefficients. In the course of exploration we rediscover a few relations presented as problem proposals.
Keywords
Cite
@article{arxiv.2310.03045,
title = {Binomial sum relations involving Fibonacci and Lucas numbers},
author = {Kunle Adegoke and Robert Frontczak and Taras Goy},
journal= {arXiv preprint arXiv:2310.03045},
year = {2023}
}
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41 pages