Binomial Transform of the Generalized \(k\)-Fibonacci Numbers

Authors

  • Sergio Falcón Department of Mathematics, University of Las Palmas de Gran Canaria, 35017 – Las, Palmas de Gran Canaria

DOI:

https://doi.org/10.26713/cma.v10i3.1221

Keywords:

\(k\)-Fibonacci numbers, Generalization of the \(k\)-Fibonacci numbers, Generating function, Binomial transform

Abstract

We recall the concept and some properties of the generalized \(k\)-Fibonacci numbers and then apply the binomial transform to these sequences. As consequence, we obtain new integer sequences related to the generalized \(k\)-Fibonacci numbers. Finally, we find the recurrence relation of these new sequences and the formulas for their sums.

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References

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Published

30-09-2019
CITATION

How to Cite

Falcón, S. (2019). Binomial Transform of the Generalized \(k\)-Fibonacci Numbers. Communications in Mathematics and Applications, 10(3), 643–651. https://doi.org/10.26713/cma.v10i3.1221

Issue

Vol. 10 No. 3 (2019)

Section

Research Article

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