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Título : On integer numbers with locally smallest order of appearance in the Fibonacci sequence
Autor : Ferreira, Diego Marques
Assunto:: Sequências (Matemática)
Equações integrais
Cálculo integral
Fecha de publicación : 2011
Editorial : Hindawi Publishing Corporation
Citación : MARQUES, Diego. On integer numbers with locally smallest order of appearance in the Fibonacci sequence. International Journal of Mathematics and Mathematical Sciences, v. 2011, 2011. Disponível em: <http://www.hindawi.com/journals/ijmms/2011/407643/>. Acesso em: 22 mar. 2013. DOI: 10.1155/2011/407643.
Resumen : Let Fn be the nth Fibonacci number. The order of appearance z 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 <z n 1 . In this paper, we will construct infinitely many natural numbers satisfying the previous inequalities and which do not belong to the Fibonacci sequence.
Licença:: © 2011DiegoMarques.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. Fonte: http://www.hindawi.com/journals/ijmms/2011/407643/. Acesso em: 22 mar. 2013.
DOI: https://dx.doi.org/10.1155/2011/407643
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