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A374618
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a(n) is the number of distinct values of the determinant of an n X n symmetric Toeplitz matrix having 0 on the main diagonal and all the integers 1, 2, ..., n-1 off-diagonal.
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4
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1, 1, 1, 2, 6, 22, 111, 695, 4920, 39881, 360242
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n) <= (n-1)! for n > 0.
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MATHEMATICA
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a[n_]:=CountDistinct[Table[Det[ToeplitzMatrix[Join[{0}, Part[Permutations[Range[n-1]], i]]]], {i, (n -1)!}]]; Join[{1}, Array[a, 10]]
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CROSSREFS
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KEYWORD
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nonn,hard,more,new
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AUTHOR
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STATUS
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approved
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