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A358323
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a(n) is the minimal determinant of an n X n symmetric Toeplitz matrix using the integers 0 to n - 1.
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8
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1, 0, -1, -7, -60, -1210, -34020, -607332, -30448441, -1093612784, -55400732937, -2471079070511, -197500419383964
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OFFSET
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0,4
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LINKS
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EXAMPLE
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a(3) = -7:
[1, 2, 0;
2, 1, 2;
0, 2, 1]
a(4) = -60:
[2, 3, 0, 1;
3, 2, 3, 0;
0, 3, 2, 3;
1, 0, 3, 2]
a(5) = -1210:
[4, 3, 0, 2, 1;
3, 4, 3, 0, 2;
0, 3, 4, 3, 0;
2, 0, 3, 4, 3;
1, 2, 0, 3, 4]
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MATHEMATICA
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Join[{1}, Table[Min[Table[Det[ToeplitzMatrix[Part[Permutations[Join[{0}, Range[n-1]]], i]]], {i, n!}]], {n, 9}]]
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CROSSREFS
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KEYWORD
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sign,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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