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On Integer Numbers with Locally Smallest Order of Appearance in the Fibonacci Sequence
Author(s) -
Diego Marques
Publication year - 2011
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2011/407643
Subject(s) - algorithm , artificial intelligence , computer science
Let Fn be the nth Fibonacci number. The order of appearancez(n) of a natural number n is defined as the smallest natural number k such that n divides Fk. For instance, for all n=Fm≥5, we have z(n−1)>z(n)

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