On Integer Numbers with Locally Smallest Order of Appearance in the Fibonacci Sequence

Diego Marques

International Journal of Mathematics and Mathematical Sciences, 2011, vol. 2011, 1-4

Abstract:

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:407643

DOI: 10.1155/2011/407643

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