Algebraic relations for recursive sequences
Number Theory
2008-03-25 v3
Abstract
Through the following, we establish the conditions which allow us to express recursive sequences of real numbers, enumerated through the recurrence relation a_{n+1} = Aa_n + Ba_{n-1}, by means of algebraic equations in two variables of degree n 2 N. Then we apply main results to the relations that express Fibonacci numbers, domino tillings of the graph W_4 x P_{n-1} and Pythagorean triples.
Cite
@article{arxiv.math/0510417,
title = {Algebraic relations for recursive sequences},
author = {Luigi Cimmino},
journal= {arXiv preprint arXiv:math/0510417},
year = {2008}
}
Comments
7 pages