等差数列を含む魔法陣

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  • On magic squares which contain arithmetic progressions
  • トウサスウレツ オ フクム マホウジン

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論文(Article)

In this paper, we consider magic squares which contain arithmetic progressions. Mainly, we consider the magic squares similar to Schaefer's 7- squares. We show how to construct magic squares of order 4k+3 which are of strict Schaefer's type. In general, it is unkown how to construct magic squares of order 4k+1 which are of the type. However, we succeeded in constructing magic squares of orders 9 and 13 which are of the type. At the end of this paper, we show an irregular pandiagonal magic 7-square of new class.

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