On the Connections between Padovan Numbers and Fibonacci p-Numbers

Authors

  • Özgür Erdağ
  • Ömür Deveci

DOI:

https://doi.org/10.47013/15.3.8

Keywords:

Padovan sequence, Fibonacci p-sequence, matrix representation

Abstract

Received on: Jan. 25, 2021;
Accepted on: Dec. 19, 2021

In this paper, we define the Fibonacci-Padovan p-sequence and then we discuss the connection of the Fibonacci-Padovan p-sequence with the Padovan sequence and Fibonacci p-sequence. In addition, we obtain miscellaneous properties of the Fibonacci-Padovan p-numbers such as the Binet formulas, the exponential, combinatorial, permanental and determinantal representations, and the sums of certain matrices.

Cited by : Jordan J. Math & Stat., 15 (3A) (2022), 507 - 521

Author Biographies

Özgür Erdağ

Department of Mathematics, Faculty of Science and Letters, Kafkas University 36100, Turkey

Ömür Deveci

Department of Mathematics, Faculty of Science and Letters, Kafkas University 36100, Turkey

Downloads

Published

2023-01-14

How to Cite

Erdağ , Özgür, & Deveci , Ömür. (2023). On the Connections between Padovan Numbers and Fibonacci p-Numbers. Jordan Journal of Mathematics and Statistics, 15(3), 507–521. https://doi.org/10.47013/15.3.8

Issue

Section

Articles