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The Number of a Type of Magic Squares and Its Construction Algorithm | Singha | งดใช้ระบบ 3-31 กค 66 Burapha Science Journal

The Number of a Type of Magic Squares and Its Construction Algorithm

Boorapa Singha

Abstract


In this paper, we give a formula to count the exact number of a special type of  magic squares of nonnegative integers. We also present a simple algorithm to construct such magic squares.              

 

Keywords :  Magic square, Magic constant


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References


Bona, M. (1997). A new proof of the formula for the number of 3×3 magic squares. Mathematics Magazine, 70(3), 201-203.

Sallows, L. C. (2013). Geometric Magic Squares: A Challenging New Twist Using Colored Shapes Instead of Numbers. Courier Corporation.

Sierpinski, W. (1988). Elementary Theory of Numbers: Second English Edition (edited by A. Schinzel) (Vol. 31). Elsevier.

Xin, G. (2008). Constructing all magic squares of order three. Discrete Mathematics, 308(15), 3393-3398.


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