Padovan and Pell-Padovan Octonions

Abstract

In this paper, we define the Padovan and Pell-Padovan octonions by using the Padovan and PellPadovan numbers. We give the generating functions, Binet’s formulas, sums formulas and some properties forthese octonions. We also present the matrix representations of the Padovan and Pell-Padovan octonions.