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Some interpretations of the $(k, p)$ -Fibonacci numbers

Natalia Paja; Iwona Włoch — 2021

Commentationes Mathematicae Universitatis Carolinae

In this paper we consider two parameters generalization of the Fibonacci numbers and Pell numbers, named as the $(k, p)$ -Fibonacci numbers. We give some new interpretations of these numbers. Moreover using these interpretations we prove some identities for the $(k, p)$ -Fibonacci numbers.

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