Behavior of powers of odd ordered special circulant magic squares

被引：5
|
作者：
Rani, Narbda [1 ]
Mishra, Vinod [1 ]
机构：
[1] St Longowal Inst Engn & Technol, Dept Math, Longowal, Punjab, India
来源：
INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY | 2022年 / 53卷 / 04期
关键词：
Magic square; circulant magic squares; magic constant; matrix powers; singularity; mathematical induction;
D O I：
10.1080/0020739X.2021.1890846
中图分类号：
G40 [教育学];
学科分类号：
040101 ; 120403 ;
摘要：
This paper contains interesting facts regarding the powers of odd ordered special circulant magic squares along with their magic constants. It is shown that we always obtain circulant semi-magic square and special circulant magic square in the case of even and odd positive integer powers of these magic squares respectively. These magic squares will also take a particular form in the case of both even and odd positive integer powers. Moreover, they are singular under some conditions.
引用
收藏
页码：1044 / 1062
页数：19
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