\(k\)-Generalized Order-\(k\) Perrin Number Presentation by Matrix Method

Kenan Kaygisiz1, Durmug Bozkurt2
1Department of Mathematics, Faculty of Arts and Sciences, Gaziosmanpaga University, 60250 Tokat, Turkey
2Department of Mathematics, Faculty of Sciences, Selguk University, 42075, Konya, Turkey

Abstract

In this paper, we give matrix representations of the \(k\)-generalized order-\(k\) Perrin numbers and we obtain relationships between these sequences and matrices. In addition, we calculate the determinant of this matrix.