Article citationsMore >>

Szynal-Liana, A., Wloch, I., “On generalized mersenne hybrid numbers”, Annales Universitatis Mariae Curie-Sklodowska Lublin-Polonia; 2020.

has been cited by the following article:

Article

k-Order Mersenne Numbers

1Pamukkale University, Department of Mathematics, Denizli, Turkey


Turkish Journal of Analysis and Number Theory. 2021, Vol. 9 No. 3, 48-51
DOI: 10.12691/tjant-9-3-3
Copyright © 2021 Science and Education Publishing

Cite this paper:
Mustafa Asci, Suleyman Aydinyuz. k-Order Mersenne Numbers. Turkish Journal of Analysis and Number Theory. 2021; 9(3):48-51. doi: 10.12691/tjant-9-3-3.

Correspondence to: Suleyman  Aydinyuz, Pamukkale University, Department of Mathematics, Denizli, Turkey. Email: aydinyuzsuleyman@gmail.com

Abstract

In this paper, we define k-order Mersenne numbers inspired the Mersenne numbers. Then, we give some interesting properties such as generating function and sum of the first m terms of these numbers. Also, we give excellent results of the k-order Mersenne numbers. We introduce the matrix representation and obtain the k-order Mersenne matrix.

Keywords