Analogues of a Fibonacci-Lucas Identity
Combinatorics
2016-08-09 v3
Abstract
Sury's 2014 proof of an identity for Fibonacci and Lucas numbers (Identity 236 of Benjamin and Quinn's 2003 book: {\em Proofs that count: The art of combinatorial proof}) has excited a lot of comment. We give an alternate, telescoping, proof of this---and associated---identities and generalize them. We also give analogous identities for other sequences that satisfy a three-term recurrence relation.
Keywords
Cite
@article{arxiv.1510.03159,
title = {Analogues of a Fibonacci-Lucas Identity},
author = {Gaurav Bhatnagar},
journal= {arXiv preprint arXiv:1510.03159},
year = {2016}
}
Comments
6 pages, final version, some typos fixed