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Some Identities and Generating Functions for Padovan Numbers

Khadidja BOUBELLOUTA,Mohamed KERADA

Keywords: Padovan numbers; k-Fibonacci numbers; k-Lucas numbers; Generating functions; Chebychev polynomial.

Abstract: In this paper, we introduce a symmetric endomorphism operator δ_(a_1 a_2)^k allows us to obtain a new generating functions involving the product of Padovan numbers, k-Fibonacci numbers, k-Lucas numbers and Chebychev polynomials of first and second kind.

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