On Linear Recursive Sequences with Coefficients in Arithmetic-Geometric Progressions
Number Theory
2015-03-19 v1
Abstract
We present a certain generalization of a recent result of M. I. Cirnu on linear recurrence relations with coefficient in progressions [2]. We provide some interesting examples related to some well-known integer sequences, such as Fibonacci sequence, Pell sequence, Jacobsthal sequence, and the Balancing sequence of numbers. The paper also provides several approaches in solving the linear recurrence relation under consideration. We end the paper by giving out an open problem.
Cite
@article{arxiv.1503.05301,
title = {On Linear Recursive Sequences with Coefficients in Arithmetic-Geometric Progressions},
author = {Jerico B. Bacani and Julius Fergy T. Rabago},
journal= {arXiv preprint arXiv:1503.05301},
year = {2015}
}
Comments
This is a preprint of a paper whose final and definite form will be published in Applied Mathematical Sciences, ISSN 1312-885X (print); ISSN 1314-7552 (online)