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Generating Matrices for Weighted Sums of Second Order Linear Recurrences

By Emrah Kiliç and Pantelimon Stănică


In this paper, we give fourth order recurrences and generating matrices for the weighted sums of second order recurrences. We derive by matrix methods some new explicit formulas and combinatorial representations, and some relationships between the permanents of certain superdiagonal matrices and these sums.

Year: 2011
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