Binomial Transforms of Generalized Fibonacci-Like Sequences

Yasemin Taşyurdu

doi:https://doi.org/10.14445/22315373/IJMTT-V64P509

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 64 | Number 1 | Year 2018 | Article Id. IJMTT-V64P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V64P509

Binomial Transforms of Generalized Fibonacci-Like Sequences

Yasemin Taşyurdu

Citation :

Yasemin Taşyurdu, "Binomial Transforms of Generalized Fibonacci-Like Sequences," International Journal of Mathematics Trends and Technology (IJMTT), vol. 64, no. 1, pp. 59-64, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V64P509

Abstract

In this study, we apply binomial transforms to generalized Fibonacci-Like sequences associated with Fibonacci and Lucas sequences. We obtain the Binet formulas and generating functions of these transforms. Also, we introduce an infinite triangle consist of the terms of generalized Fibonacci-Like sequences and their binomial transforms.

Keywords

Fibonacci sequence, Lucas sequences, Binomial Transforms, Binet Formulo

References

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