On the sum of Pell and Jacobsthal numbers by matrix method

Document Type : Research Paper


1 Siirt University

2 Dicle University


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.


Main 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
  • First Publish Date: 01 August 2014