Geodesic
Some interpretations of the $(k,p)$-Fibonacci numbers
Commentationes Mathematicae Universitatis Carolinae, Tome 62 (2021) no. 3, pp. 297-307.

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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.
DOI : 10.14712/1213-7243.2021.026
Classification : 05A19, 05C15, 11B39, 11B83
Keywords: Fibonacci number; Pell number; tiling 
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Paja, Natalia; Włoch, Iwona. Some interpretations of the $(k,p)$-Fibonacci numbers. Commentationes Mathematicae Universitatis Carolinae, Tome 62 (2021) no. 3, pp. 297-307. doi : 10.14712/1213-7243.2021.026. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2021.026/

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