Summation Identities Involving Padovan and Perrin Numbers
Combinatorics
2019-04-26 v2
Abstract
Unlike in the case of Fibonacci and Lucas numbers, there is a paucity of literature dealing with summation identities involving the Padovan and Perrin numbers. In this paper, we derive various summation identities for these numbers, including binomial and double binomial identities. Our results derive from the rich algebraic properties exhibited by the zeros of the characteristic polynomial of the Padovan/Perrin sequence.
Keywords
Cite
@article{arxiv.1812.03241,
title = {Summation Identities Involving Padovan and Perrin Numbers},
author = {Kunle Adegoke},
journal= {arXiv preprint arXiv:1812.03241},
year = {2019}
}
Comments
18 pages, no figures, made a typographical correction