Tridiagonal matrices related to subsequences of balancing and Lucas-balancing numbers

被引：0
作者：
Ray, Prasanta K. [1 ]
Panda, Gopal K. [2 ]
机构：
[1] Veer Surendra Sai Univ Technol, Dept Math, Burla 768018, Odisha, India
[2] Natl Inst Technol Rourkela, Dept Math, Rourkela 769008, India
来源：
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2015年 / 21卷 / 03期
关键词：
Balancing numbers; Balancers; Lucas-balancing numbers; Tridiagonal matrices;
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 balancing and Lucas-balancing numbers are expressed as determinants of suitable tridiagonal matrices. The aim of this paper is to express certain subsequences of balancing and Lucas-balancing numbers in terms of determinants of tridiagonal matrices. Using these tridiagonal matrices, a factorization of the balancing numbers is also derived.
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页码：56 / 63
页数：8
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