ON THE ORDER OF APPEARANCE OF PRODUCTS OF FIBONACCI NUMBERS

被引：0

作者：

Khaochim, Narissara ^{[1
]}

Pongsriiam, Prapanpong ^{[1
]}

机构：

[1] Silpakorn Univ, Dept Math, Fac Sci, Amphoe Muang 73000, Nakhon Pathom, Thailand

来源：

CONTRIBUTIONS TO DISCRETE MATHEMATICS | 2018年 / 13卷 / 02期

关键词：

Fibonacci number; least common multiple; the order of appearance; LUCAS-NUMBERS; POWERS; DIVISIBILITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F-n be the nth Fibonacci number. For each positive integer m, the order of appearance of m, denoted by z(m), is the smallest positive integer k such that m divides F-k. Recently, D. Marques has obtained a formula for z(FnFn+1), z(FnFn+ F-1(n +2)), and z(FnFn+1Fn+2Fn+3). In this paper, we extend Marques' result to the case z(FnFn +1 ... Fn+k), for 4 <= k <= 6.

引用

页码：45 / 62

页数：18

共 29 条

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