共 3 条
- [1] Dudley U., 1971, FIBONACCI QUART, V9, P89
- [2] Hernandez S., 2003, PERIOD MATH HUNG, V47, P95
- [3] Koshy T., 2001, PUR AP M-WI
Greatest Common Divisors in Shifted Fibonacci Sequences
被引：0
作者：
Chen, Kwang-Wu
[1
]
机构：
[1] Taipei Municipal Univ Educ, Dept Math & Comp Sci Educ, 1,Ai Kuo West Road, Taipei, Taiwan
关键词：
Fibonacci numbers;
Lucas numbers;
generalized Fibonacci numbers;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ;
070101 ;
摘要：
It is well known that successive members of the Fibonacci sequence are relatively prime. Let f(n)(a) = gcd(F-n + a, Fn+1 + a). Therefore (f(n)(0)) is the constant sequence 1, 1, 1,..., but Hoggatt in 1971 noted that (f(n) (+/- 1)) is unbounded. In this note we prove that (f(n)(a)) is bounded if a not equal +/- 1.
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页数：8
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