The Representation and Finite Sums of the Padovan-p Jacobsthal Numbers

Abstract

In this paper, we consider the Padovan-p Jacobsthal sequence and then we discuss the connection of the Padovan-p Jacobsthal numbers and Jacobsthal numbers. Furthermore, we give the permanental, determinantal, combinatorial, and exponential representations, and the sums of the Padovan-p Jacobsthal numbers by the aid of the generating function and generating matrix of this sequence.