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.
Akbulak, M., Öteleș, A. (2014). On the sum of Pell and Jacobsthal numbers by matrix method. Bulletin of the Iranian Mathematical Society, 40(4), 1017-1025.
MLA
M. Akbulak; A. Öteleș. "On the sum of Pell and Jacobsthal numbers by matrix method". Bulletin of the Iranian Mathematical Society, 40, 4, 2014, 1017-1025.
HARVARD
Akbulak, M., Öteleș, A. (2014). 'On the sum of Pell and Jacobsthal numbers by matrix method', Bulletin of the Iranian Mathematical Society, 40(4), pp. 1017-1025.
VANCOUVER
Akbulak, M., Öteleș, A. On the sum of Pell and Jacobsthal numbers by matrix method. Bulletin of the Iranian Mathematical Society, 2014; 40(4): 1017-1025.