Binominal transforms of k-Jacobsthal sequences

Abstract

In this paper, we define the binomial, k−binomial, rising, and falling transforms for k−Jacobsthal sequence. We investigate some properties of these sequences such as recurrence relations, Binet's formula, generating functions and in the sequel of this paper denote Pascal Jacobsthal triangle for all binomial transformation sequences.

https://doi.org/10.28919/jmcs/3474