Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

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.
Keywords
Subjects

Volume 40, Issue 4 - Serial Number 4
August 2014
Pages 1017-1025

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