- Turkish Journal of Science
- Vol: 5 Issue: 2
- On The Connections Between Jacobsthal Numbers and Fibonacci p-Numbers
On The Connections Between Jacobsthal Numbers and Fibonacci p-Numbers
Authors : Özgür ERDAĞ, Ömür DEVECİ
Pages : 147-156
View : 9 | Download : 3
Publication Date : 2020-10-31
Article Type : Research
Abstract :In this paper, we define the Fibonacci-Jacobsthal p-sequence and then we discuss the connection of the Fibonacci-Jacobsthal p-sequence with Jacobsthal and Fibonacci p-sequences. Also, we provide a new Binet formula and a new combinatorial representation of Fibonacci-Jacobsthal p-numbers by the aid of the nth power of the generating matrix the Fibonacci-Jacobsthal p-sequence. Furthermore, we derive relationships between the Fibonacci-Jacobsthal p-numbers and their permanent, determinant and sums of certain matrices.Keywords : Jacobsthal sequence, Fibonacci p-sequence, Matrix, Representation