The k–Fibonacci difference sequences

Sergio Falcon

Chaos, Solitons & Fractals, 2016, vol. 87, issue C, 153-157

Abstract: In this paper we apply the concept of difference relation to the sequences of k–Fibonacci numbers. We will obtain general formulas to find any term of the ith k–Fibonacci difference sequence from the initial k–Fibonacci numbers. We also find formulas for the sum of the elements of these new sequences as well as their generating functions. Finally, we study the k–Fibonacci Newton polynomial interpolation.

Keywords: k–Fibonacci numbers; Binet identity; Finite difference; Polynomial interpolation (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:87:y:2016:i:c:p:153-157

DOI: 10.1016/j.chaos.2016.03.038

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