A second-order difference equation with sign-alternating coefficients

DOI : 10.48129/kjs.20425

Authors

  • Carlos M. da Fonseca Kuwait College of Science and Technology, P.O. Box 27235, Safat 13133, Kuwait https://orcid.org/0000-0001-7742-4416
  • Can Kizilates Zonguldak B¨ulent Ecevit University, Department of Mathematics, Zonguldak, 67100, Turkey
  • Nazlıhan Terzio˘glu Zonguldak B¨ulent Ecevit University, Department of Mathematics, Zonguldak, 67100, Turkey

DOI:

https://doi.org/10.48129/kjs.20425

Abstract

We provide an explicit solution for the terms of the sequence $(x_{n,k})$ defined by $$x_{n,k}= x_{n-1,k} - (-1)^{\lfloor (n-2)/k\rfloor} x_{n-2,k}\, ,$$ for $n\geqslant 3$, setting $x_{1,k}=1$ and $x_{2,k}=0$. Several particular examples are considered.

Published

04-08-2022

Issue

Section

Mathematics