Abstract: 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.
Keywords: Fibonacci number; Pell number; tiling
DOI: DOI 10.14712/1213-7243.2021.026
AMS Subject Classification: 11B39 11B83 05C15 05A19