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A358325
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a(n) is the minimal absolute value of determinant of a nonsingular n X n symmetric Toeplitz matrix using the integers 0 to n - 1.
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4
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1, 3, 12, 2, 11, 10, 5, 4, 1, 4, 1
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OFFSET
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2,2
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LINKS
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EXAMPLE
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a(3) = 3:
[1, 0, 2;
0, 1, 0;
2, 0, 1]
a(4) = 12:
[3, 2, 1, 0;
2, 3, 2, 1;
1, 2, 3, 2;
0, 1, 2, 3]
a(5) = 2:
[0, 4, 1, 2, 3;
4, 0, 4, 1, 2;
1, 4, 0, 4, 1;
2, 1, 4, 0, 4;
3, 2, 1, 4, 0]
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MATHEMATICA
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Table[Min[Select[Table[Abs[Det[ToeplitzMatrix[Part[Permutations[Join[{0}, Range[n-1]]], i]]]], {i, n!}], Positive]], {n, 2, 9}] (* Corrected by Stefano Spezia, Nov 17 2022 *)
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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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