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.
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.
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.
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.
On the sum of Pell and Jacobsthal numbers by matrix method
Receive Date: 30 November 2012,
Revise Date: 18 July 2013,
Accept Date: 18 July 2013
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.
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