A note on congruence properties of the generalized bi-periodic Horadam sequence
Number Theory
2019-03-04 v1
Abstract
In this paper, we consider a generalization of Horadam sequence {w_n} which is defined by the recurrence w_n = aw_n-1 + cw_n-2; if n is even, w_n = bw_n-1 + cw_n-2; if n is odd with arbitrary initial conditions w_0, w_1 and nonzero real numbers a, b, and c. We investigate some congruence properties of the generalized Horadam sequence {w_n}.
Keywords
Cite
@article{arxiv.1903.00465,
title = {A note on congruence properties of the generalized bi-periodic Horadam sequence},
author = {Elif Tan and Ho-Hon Leung},
journal= {arXiv preprint arXiv:1903.00465},
year = {2019}
}