On the (s,t)-fibonacci and fibonacci matrix sequences

被引：0
|
作者：
Civciv, Haci [1 ]
Turkmen, Ramazan [1 ]
机构：
[1] Selcuk Univ, Fac Art & Sci, Dept Math, TR-42031 Konya, Turkey
来源：
ARS COMBINATORIA | 2008年 / 87卷
关键词：
Fibonacci numers; Pell numbers; Jacobsthal numbers; Mersenne 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 always fascinating to see what results when seemingly different areas mathematics overlap. This article reveals one such result; number theory and linear algebra are intertwined to yield complex factorizations of the classic Fibonacci, Pell, Jacobsthal, and Mersenne numbers. Also, in this paper we define a new matrix generalization of the Fibonacci numbers, and using essentially a matrix approach we show some properties of this matrix sequence.
引用
收藏
页码：161 / 173
页数：13
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