k-Order Mersenne Numbers

Mustafa Asci¹ and Suleyman Aydinyuz^1,

¹Pamukkale University, Department of Mathematics, Denizli, Turkey

Cite this paper:
Mustafa Asci and 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

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:
Mersenne numbers k-order Mersenne numbers Generating function Matrix representation

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