Geodesic
On two-parameters generalization of Fibonacci numbers
Mathematica Applicanda, Tome 45 (2017) no. 1, pp. 81-92 Cet article a éte moissonné depuis la source Annales Societatis Mathematicae Polonae Series

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In this paper we introduce a new two-parameters generalization ofFibonacci numbers - distance s-Fibonacci numbers F_s(k,n). We generalize 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.
DOI : 10.14708/ma.v45i1.1110
Classification : 11B37, 11C20, 15B36, 05C69
Mots-clés : Fibonacci numbers, Padovan numbers, distance Fibonacci numbers, generalized Fibonacci numbers, generating function, matrix generator 
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     title = {On two-parameters generalization of {Fibonacci} numbers},
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Dorota Bród. On two-parameters generalization of Fibonacci numbers. Mathematica Applicanda, Tome 45 (2017) no. 1, pp.  81-92. doi: 10.14708/ma.v45i1.1110

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