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On the number of semi-magic squares of order 6

Published 9 Jul 2018 in math.CO and cs.DM | (1807.02983v1)

Abstract: 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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