期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2011
卷号：2011
DOI：10.1155/2011/407643
出版社：Hindawi Publishing Corporation
摘要：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
