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A271103
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Number of magic and semi-magic squares of order n composed of the numbers from 1 to n^2, counted up to rotations and reflections.
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12
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OFFSET
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1,3
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COMMENTS
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A semi-magic square differs from a magic square in that at least one of its main diagonals does not sum to the magic constant. [Walter Trump]
The number of order 4 magic and semi-magic squares was computed by Mutsumi Suzuki, and could be found on his former web site. Mutsumi Suzuki's pages are now in the Internet Archive.
The number of order 5 magic and semi-magic squares was computed by Walter Trump in March 2000.
The number of order 6 magic and semi-magic squares was calculated by Artem Ripatti in April 2018, and published in his paper dated July 10, 2018. - William Walkington, Jul 17 2018
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LINKS
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FORMULA
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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