1 Introduction
The well-known Fibonacci (and Lucas) sequence is one of the sequences of
positive integers that have been studied over several years. Many authors are
dedicated to study this sequence, such as the work of Hoggatt, in [19] and
Vorobiov, in [12], among others. Several relations of this sequence with different
scientific areas can be found in the literature. For example, S. Klavžar [20] uses
tools of graph theory and consider the Fibonacci cube with emphasis on their
structure and J. Y. Cai et al. in [22]