Affiliation:
1. Department of Mathematics, Faculty of Science and Letters, Kafkas University 36100, Turkey
Abstract
In the present investigation, we define the arrowhead-Jacobsthal sequence by the arrowhead matrix defined with the help of the characteristic polynomial of the generalized order-k Jacobsthal numbers. Next, we derive various properties of the arrowhead-Jacobsthal sequence by using its generating matrix. Also, we give connections between Fibonacci, Jacobsthal, Pell and arrowhead-Jacobsthal numbers.
Publisher
Keldysh Institute of Applied Mathematics
Reference21 articles.
1. Y. Akuzum and O. Deveci, “The arrowhead-Pell sequences”, Ars Combinatoria, (in press).
2. Y. Akuzum and O. Deveci, “The Hadamard-type k-step Fibonacci sequences in groups”, Communications. Algebra, 48(7), 2844-2856 (2020).
3. R. A. Brualdi and P. M. Gibson, “Convex polyhedra of doubly stochastic matrices I: applications of permanent function”, Journal of Combinatorial Theory, 22(2), 194-230 (1977).
4. W.Y.C. Chen and J. D. Louck, “The combinatorial power of the companion matrix”, Linear Algebra and Its Applications, 232, 261-278 (1996).
5. O. Deveci, Y. Akuzum and E. Karaduman, “The Pell-Padovan p-sequences and its applications”, Utilitas Mathematica, 98, 327-347 (2015).