English

On certain Fibonacci representations

Number Theory 2024-03-25 v1

Abstract

One of the most popular and studied recursive series is the Fibonacci sequence. It is challenging to see how Fibonacci numbers can be used to generate other recursive sequences. In our article, we describe some families of integer recurrence sequences as rational polynomial linear combinations of Fibonacci numbers.

Keywords

Cite

@article{arxiv.2403.15053,
  title  = {On certain Fibonacci representations},
  author = {Kálmán Liptai and László Németh and Tamás Szakács and László Szalay},
  journal= {arXiv preprint arXiv:2403.15053},
  year   = {2024}
}

Comments

9 pages

R2 v1 2026-06-28T15:29:39.542Z