On Generalizations of the Pell Sequence
Combinatorics
2017-11-20 v1 Rings and Algebras
Abstract
In this paper, we investigate the generalized Pell sequence, the generalized complex Pell sequence and the generalized dual Pell sequence using the Pell numbers. We obtain special cases of these sequences. Furthermore, we give recurrence relations, vectors, the silver ratio and Binet's formula for the above-investigated sequences.
Cite
@article{arxiv.1711.06260,
title = {On Generalizations of the Pell Sequence},
author = {Fügen Torunbalci Aydin and Kevser Köklü},
journal= {arXiv preprint arXiv:1711.06260},
year = {2017}
}