# On the sum of Pell and Jacobsthal numbers by matrix method

Document Type : Research Paper

Authors

1 Siirt University

2 Dicle University

Abstract

In this paper‎, ‎we define two $n$-square upper Hessenberg matrices one of which corresponds to the adjacency matrix of a directed pseudo graph‎. ‎We investigate relations between permanents and determinants of these upper Hessenberg matrices‎, ‎and sum formulas of the well-known Pell and Jacobsthal sequences‎. ‎Finally‎, ‎we present two Maple 13 procedures in order to calculate permanents of these upper Hessenberg matrices‎.

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### History

• Receive Date: 30 November 2012
• Revise Date: 18 July 2013
• Accept Date: 18 July 2013