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A374619
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a(n) is the number of distinct values of the 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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4
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1, 1, 1, 2, 6, 22, 120, 717, 5039, 40312, 362874
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n) <= (n-1)! for n > 0.
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MATHEMATICA
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a[n_]:=CountDistinct[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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nonn,hard,more
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AUTHOR
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STATUS
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approved
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