On truncated fibonacci sequences

被引:0
作者
Oezkan, Engin [1 ]
机构
[1] Ataturk Univ, Fen Edebiyat Fak Matemat BOI, TR-25240 Erzurum, Turkey
关键词
fibonacci sequence; wall number; truncated fibonacci sequence; multiplicative function;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove some theorems concerning truncated Fibonacci sequences, which are defined below in Section 2. We also state some conjectures concerning the period (mod m) of truncated Fibonacci sequences, where the integer m is greater than or equal to 2. In addition, we present some computer-generated results that tend to support these conjectures.
引用
收藏
页码:241 / 251
页数:11
相关论文
共 5 条
[1]   (±1)-Invariant sequences and truncated Fibonacci sequences [J].
Choi, GS ;
Hwang, SG ;
Kim, IP ;
Shader, BL .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 395 :303-312
[2]   3-step Fibonacci series modulo m [J].
Özkan, E ;
Aydin, H ;
Dikici, R .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 143 (01) :165-172
[3]   A fast algorithm for computing large Fibonacci numbers [J].
Takahashi, D .
INFORMATION PROCESSING LETTERS, 2000, 75 (06) :243-246
[4]  
Wall D. D., 1960, The American Mathematical Monthly, V67, P525, DOI 10.2307/2309169
[5]  
WILCOX HJ, 1986, FIBONACCI QUART, V24, P356