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Tasci, D., Sevgi, E., “Some properties between Mersenne, Jacobsthal and Jacobsthal-Lucas Hybrid Numbers”, Chaos, Solitons and Fractals, 146, 2021.

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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