On certain Fibonacci representations

Fuente: arXiv
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Autores principales: Liptai, Kálmán, Németh, László, Szakács, Tamás, Szalay, László
Formato: Preprint
Publicado: 2024
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author Liptai, Kálmán
Németh, László
Szakács, Tamás
Szalay, László
author_facet Liptai, Kálmán
Németh, László
Szakács, Tamás
Szalay, László
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2403_15053
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On certain Fibonacci representations
Liptai, Kálmán
Németh, László
Szakács, Tamás
Szalay, László
Number Theory
11B39, 11B37
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.
title On certain Fibonacci representations
topic Number Theory
11B39, 11B37
url https://arxiv.org/abs/2403.15053