The \(k\)-Fibonacci difference sequences

DOI10.1016/J.CHAOS.2016.03.038zbMath1355.11009OpenAlexW2333479611MaRDI QIDQ508243

Sergio Falcon

Publication date: 10 February 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2016.03.038

zbMATH Keywords

finite differencepolynomial interpolation\(k\)-Fibonacci numbersBinet identity

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Rational numbers as sums of fractions (11D68)

Related Items (4)

A New Family of Number Sequences: Leonardo-Alwyn Numbers ⋮ A matrix approach to some second-order difference equations with sign-alternating coefficients ⋮ Dual-complex \(k\)-Fibonacci numbers ⋮ The m-extension of Fibonacci and Lucas p-difference sequences

Uses Software

• OEIS

Cites Work

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• On the Fibonacci \(k\)-numbers
• The \(k\)-Fibonacci sequence and the Pascal 2-triangle
• A Generalized Fibonacci Sequence

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