On the sum of Pell and Jacobsthal numbers by matrix method
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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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Journal title
volume 40 issue 4
pages 1017- 1025
publication date 2014-08-01
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