On the number of semi-magic squares of order 6

07/09/2018

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by   Artem Ripatti, et al.

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We present an exact method for counting semi-magic squares of order 6. Some theoretical investigations about the number of them and a probabilistic method are presented. Our calculations show that there are exactly 94 590 660 245 399 996 601 600 such squares up to reflections and rotations.