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A309258
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a(n) is the number of distinct absolute values of determinants of order n Latin squares.
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7
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OFFSET
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1,4
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COMMENTS
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We apply every symbol permutation on the representatives of isotopic classes to generate Latin squares of order n and calculated the determinants. We then obtained the absolute values of the determinants and removed duplicates.
These results are based on work supported by the National Science Foundation under grants numbered DMS-1852378 and DMS-1560019.
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LINKS
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EXAMPLE
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For n = 5, the set of absolute values of determinants is {75, 825, 1200, 1575, 1875, 2325}, so a(5) = 6.
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PROG
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(Sage) # See Maldonado link.
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CROSSREFS
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KEYWORD
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nonn,hard,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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