On Hyperbolic Padovan and Hyperbolic Pell-Padovan Sequences

Abstract

In this article, we extend Padovan and Pell-Padovan numbers to Hyperbolic Padovan and Hyperbolic Pell-Padovan numbers, respectively. Moreover we obtain Binet-like formulas, generating functions and some identities related with Hyperbolic Padovan and Hyperbolic Pell-Padovan numbers.