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A374241
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a(n) is the maximal absolute value of the 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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6
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1, 1, 0, 1, 40, 545, 13805, 526773, 18551951, 768561384, 31451535983
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OFFSET
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0,5
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LINKS
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FORMULA
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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_]:=Max[Table[Abs[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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nonn,hard,more
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AUTHOR
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STATUS
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approved
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