The Binet formula for the k-generalized Fibonacci numbers

被引：0
|
作者：
Yang, Sheng-liang [1 ]
Zhang, Hui-ting [1 ]
机构：
[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
来源：
ARS COMBINATORIA | 2014年 / 116卷
关键词：
k-generalized Fibonacci sequence; k-generalized Lucas sequence; generating function; Stirling numbers; power sum; LUCAS-NUMBERS; SEQUENCES; MATRICES; POWER;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, using the generating function, we derive Binet formulas and determinant expressions for the k-generalized Fibonacci numbers and Lucas numbers. As applications, we obtain some new recurrence relations for the Stirling numbers of the second kind and power sums.
引用
收藏
页码：193 / 204
页数：12
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