%0 Journal Article
%T On the sum of Pell and Jacobsthal numbers by matrix method
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Akbulak, M.
%A Öteleș, A.
%D 2014
%\ 08/01/2014
%V 40
%N 4
%P 1017-1025
%! On the sum of Pell and Jacobsthal numbers by matrix method
%K Permanent
%K Pell sequence
%K Hessenberg matrix
%R
%X 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.
%U http://bims.iranjournals.ir/article_548_427451a378e7b360196f24cc5049fb08.pdf