On the number of semi-magic squares of order 6

Artem V. Ripatti · arXiv (Cornell University) · 2018

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.

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