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.
Copyright © 2017 Sukran Uygun, Arzum Erdogdu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. Uygun, A. Erdogdu, Binominal transforms of k-Jacobsthal sequences, J. Math. Comput. Sci. 7 (2017), 1100–1114.
BibTeX
@article{Uygun2017,
author = {Uygun, Sukran and Erdogdu, Arzum},
title = {Binominal transforms of k-Jacobsthal sequences},
journal = {J. Math. Comput. Sci.},
volume = {7},
year = {2017},
pages = {1100--1114},
doi = {}
}