On Polynomial Identities for Recursive Sequences

Published 20 Aug 2015 in math.CO | (1508.04953v1)

Abstract: In this paper we extend the notion of Melham sum to the Pell and Pell-Lucas sequences. While the proofs of general statements rely on the binomial theorem, we prove some spacial cases by the known Pell identities. We also give extensions of obtained expressions to the other recursive sequences.

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