著者

内田 伏一

出版者

山形大学

雑誌

山形大学紀要. 自然科学 = BULLETIN OF YAMAGATA UNIVERSITY. Natural Science (ISSN:05134692)

巻号頁・発行日

vol.18, no.3, pp.1-24, 2016-02-15

---

In this paper, we consider magic squares which contain arithmeticprogressions. Mainly, we consider the magic squares similar to Schaefer's 7-squares. We show how to construct magic squares of order 4k+3 which areof strict Schaefer's type. In general, it is unkown how to construct magicsquares of order 4k+1 which are of the type. However, we succeeded inconstructing magic squares of orders 9 and 13 which are of the type. At theend of this paper, we show an irregular pandiagonal magic 7-square of newclass.