Journal of Combinatorics, Information & System Sciences : (A Quarterly International Scientific Journal)
Published in Association with Forum for Interdisciplinary Mathematics
Current Volume: 47 (2022 )
ISSN: 0250-9628
e-ISSN: 0976-3473
Periodicity: Quarterly
Month(s) of Publication: March, June, September & December
Subject: Mathematics
DOI: 10.32381/JCISS
Online Access is free for all life members of JCISS.
Properties of Generalized k-Jacobsthal like Sequence Using Matrices
By : Pankaj
Page No: 155-163
Abstract
The Jacobsthal sequence has been generalized in many ways, some by preserving the initial conditions, others by preserving the recurrence relation. In this paper, we define a new generalization {Mk,n}? n = 1,with initial conditionsMk,o = 2Mk,1= m+k, which is generated by the recurrence relation Mk,n+1 = kMk,n + 2Mk,n–1 for n ? 1, where k, m are integer numbers. Some new properties concerning this new generalization have been described using matrix algebra.
Author :
Pankaj : Department of Mathematics, Indira Gandhi University, Meerpur (Rewari)-122502, Haryana India.