On two-parameters generalization of Fibonacci numbers

Abstract

In this paper we introduce a new two-parameters generalization of Fibonacci numbers – distance s-Fibonacci numbers Fs(k, n). We generalize the known distance Fibonacci numbers by adding an additional integer parameter s. We give combinatorial and graph interpretations of these numbers. Moreover, we present some properties of distance s-Fibonacci numbers, which generalize known properties of classical Fibonacci and Padovan numbers.

Authors and Affiliations

Dorota Bród

Keywords

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  • EP ID EP652163
  • DOI 10.14708/ma.v45i1.1110
  • Views 103
  • Downloads 0

How To Cite

Dorota Bród (2017). On two-parameters generalization of Fibonacci numbers. Mathematica Applicanda. Annales Societatis Mathematicae Polonae Series III ., 0(0), 81-92. https://europub.co.uk/articles/-A-652163