Departament of Mathematics, University of Brasilia, Brasilia-DF 70910-900, Brazil
Academic Editor: Ilya M. Spitkovsky
Copyright © 2011 Diego Marques. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Let be the th Fibonacci number. The order of appearance
of a natural number is defined as the smallest natural number such that divides . For instance, for all , we have . In this paper, we will construct infinitely many natural numbers satisfying the previous inequalities and which do not belong to the Fibonacci sequence.