The OEIS is supported by the many generous donors to the OEIS Foundation.
%I #6 Jul 15 2024 10:20:16
%S 1,1,1,2,6,22,120,717,5039,40312,362874
%N 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.
%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[{1},Part[Permutations[Prime[Range[n-1]]], i]]]], {i, (n -1)!}]]; Join[{1}, Array[a, 10]]
%Y Cf. A000142, A369832.
%Y Cf. A374340, A374341, A374342, A374343.
%Y Cf. A374617, A374618, A374620, A374621.
%K nonn,hard,more
%O 0,4
%A _Stefano Spezia_, Jul 14 2024