A trick around Fibonacci, Lucas and Chebyshev
History and Overview
2015-01-27 v1
Abstract
In this article, we present a trick around Fibonacci numbers which can be found in several magic books. It consists in computing quickly the sum of the successive terms of a Fibonacci-like sequence. We give explanations and extensions of this trick to more general sequences. This study leads us to interesting connections between Fibonacci, Lucas sequences and Chebyshev polynomials.
Cite
@article{arxiv.1302.0357,
title = {A trick around Fibonacci, Lucas and Chebyshev},
author = {Aimé Lachal},
journal= {arXiv preprint arXiv:1302.0357},
year = {2015}
}
Comments
23 pages