TY - JOUR
ID - 548
TI - On the sum of Pell and Jacobsthal numbers by matrix method
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Akbulak, M.
AU - Öteleș, A.
AD - Siirt University
AD - Dicle University
Y1 - 2014
PY - 2014
VL - 40
IS - 4
SP - 1017
EP - 1025
KW - Permanent
KW - Pell sequence
KW - Hessenberg matrix
DO -
N2 - 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.
UR - http://bims.iranjournals.ir/article_548.html
L1 - http://bims.iranjournals.ir/article_548_427451a378e7b360196f24cc5049fb08.pdf
ER -