On Integer Numbers with Locally Smallest Order of Appearance in the Fibonacci Sequence
نویسنده
چکیده
Let F n be the nth Fibonacci number. The order of appearance zn of a natural number n is defined as the smallest natural number k such that n divides F k. For instance, for all n F m ≥ 5, we have zn − 1 > zn < zn 1. In this paper, we will construct infinitely many natural numbers satisfying the previous inequalities and which do not belong to the Fibonacci sequence.
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عنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2011 شماره
صفحات -
تاریخ انتشار 2011