On Polynomial Identities for Recursive Sequences
Combinatorics
2015-08-21 v1
Abstract
In this paper we extend the notion of Melham sum to the Pell and Pell-Lucas sequences. While the proofs of general statements rely on the binomial theorem, we prove some spacial cases by the known Pell identities. We also give extensions of obtained expressions to the other recursive sequences.
Cite
@article{arxiv.1508.04953,
title = {On Polynomial Identities for Recursive Sequences},
author = {Ivica Martinjak and Iva Vrsaljko},
journal= {arXiv preprint arXiv:1508.04953},
year = {2015}
}
Comments
10 pages