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A374340
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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 first n-1 primes off-diagonal.
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5
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1, 1, -3, 8, -21, -12167, -1708047, -116428560, -33081320935, -1098860747703, -579469550006151
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OFFSET
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0,3
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LINKS
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EXAMPLE
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a(5) = -12167:
[1, 2, 7, 3, 5]
[2, 1, 2, 7, 3]
[7, 2, 1, 2, 7]
[3, 7, 2, 1, 2]
[5, 3, 7, 2, 1]
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MATHEMATICA
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a[n_]:=Min[Table[Det[ToeplitzMatrix[Join[{1}, Part[Permutations[Prime[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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sign,hard,more,new
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AUTHOR
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STATUS
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approved
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