On two-parameters generalization of Fibonacci numbers
Journal Title: Mathematica Applicanda. Annales Societatis Mathematicae Polonae Series III . - Year 2017, Vol 0, Issue 0
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
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