A note on Fibonacci number of even index
Number Theory
2017-06-14 v2
Abstract
We prove that a positive integer is a Fibonacci number of even index if and only if .
Cite
@article{arxiv.1705.08305,
title = {A note on Fibonacci number of even index},
author = {Achille Frigeri},
journal= {arXiv preprint arXiv:1705.08305},
year = {2017}
}
Comments
5 pages There is an error in the main proof (cases 3 and 5). Uniqueness for the decomposition of Fibonacci number of even index is not proved