On certain Fibonacci representations

2024/03/22 by Liptai, Kálmán, Németh, László, Szakács, Tamás +1
#11B37 #11B39 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2403.15053

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.

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