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%I #7 Jul 15 2024 10:20:11
%S 1,1,1,2,6,22,111,695,4920,39881,360242
%N a(n) is the number of distinct values of the determinant of an n X n symmetric Toeplitz matrix having 0 on the main diagonal and all the integers 1, 2, ..., n-1 off-diagonal.
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Toeplitz_matrix">Toeplitz Matrix</a>.
%F a(n) <= (n-1)! for n > 0.
%t a[n_]:=CountDistinct[Table[Det[ToeplitzMatrix[Join[{0},Part[Permutations[Range[n-1]], i]]]], {i, (n -1)!}]]; Join[{1}, Array[a, 10]]
%Y Cf. A000142, A369834.
%Y Cf. A374279, A374280, A374281, A374282.
%Y Cf. A374617, A374619, A374620, A374621.
%K nonn,hard,more,new
%O 0,4
%A _Stefano Spezia_, Jul 14 2024
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