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.

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

巻号頁・発行日

vol.15, no.4, pp.135-163, 2004-02-16

---

There is a special class of magic squares that are called pan-diagonal magic squares among general magic squares. In this paper, we shall consider a classification of a subclass of pan-diagonal 8×8 magic squares. Key clues for the present investigation are the 4-adic expansion of the entries of magic squares and the transformations of magic squares that are represented by the permutations of rows and columns of the magic squares.