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A374239
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a(n) is the minimal determinant of an n X n symmetric Toeplitz matrix having 1 on the main diagonal and all the integers 1, 2, ..., n-1 off-diagonal.
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5
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1, 1, 0, -1, 1, -545, -13805, -301184, -18551951, -352513176, -31451535983
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OFFSET
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0,6
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LINKS
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EXAMPLE
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a(5) = -545:
[1, 1, 4, 2, 3]
[1, 1, 1, 4, 2]
[4, 1, 1, 1, 4]
[2, 4, 1, 1, 1]
[3, 2, 4, 1, 1]
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MATHEMATICA
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a[0]=1; a[n_]:=Min[Table[Det[ToeplitzMatrix[Join[{1}, Part[Permutations[Range[n - 1]], i]]]], {i, (n-1)!}]]; Array[a, 11, 0]
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CROSSREFS
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KEYWORD
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sign,hard,more,new
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AUTHOR
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STATUS
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approved
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