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Some properties of generalized $k$-Pell sequences

Published 10 Aug 2015 in math.NT | (1508.03035v1)

Abstract: The purpose of this paper is twofold; (1) to develop several identities for the Generalized $k$-Pell sequence (including those of Binet, Catalan, Cassini, and d'Ocagne), and (2) to study applications of tridiagonal generating matrices for the $k$-Pell and Generalized $k$-Pell sequences.

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