Some problems related to the growth of z ( n ) $z(n)$
Abstract Let ( F n ) n ≥ 0 $(F_{n})_{n\geq 0}$ be the Fibonacci sequence. The order of appearance z ( n ) $z(n)$ of a positive integer n is defined as z ( n ) : = min { k ≥ 1 : n ∣ F k } $z(n):= \min \{k\geq 1: n\mid F_{k}\}$ . In 2013, Marques proved that lim inf n → ∞ z ( n ) / n = 0 $\liminf_{n\t...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-06-01
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| Series: | Advances in Difference Equations |
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| Online Access: | http://link.springer.com/article/10.1186/s13662-020-02735-5 |