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A358327 a(n) is the maximal permanent of an n X n symmetric Toeplitz matrix using the integers 0 to n - 1.

%I A358327 #10 Nov 16 2022 09:41:24
%S A358327 1,0,1,12,304,12696,778785,64118596,7014698888,965862895732,
%T A358327 166105870928994,34460169208369298
%N A358327 a(n) is the maximal permanent of an n X n symmetric Toeplitz matrix using the integers 0 to n - 1.
%H A358327 Lucas A. Brown, <a href="https://github.com/lucasaugustus/oeis/blob/main/A358326%2B7.sage">A358326+7.sage</a>.
%H A358327 Wikipedia, <a href="http://en.wikipedia.org/wiki/Toeplitz_matrix">Toeplitz Matrix</a>
%e A358327 a(3) = 12:
%e A358327     [2, 1, 0;
%e A358327      1, 2, 1;
%e A358327      0, 1, 2]
%e A358327 a(4) = 304:
%e A358327     [2, 3, 1, 0;
%e A358327      3, 2, 3, 1;
%e A358327      1, 3, 2, 3;
%e A358327      0, 1, 3, 2]
%e A358327 a(5) = 12696:
%e A358327     [3, 4, 2, 1, 0;
%e A358327      4, 3, 4, 2, 1;
%e A358327      2, 4, 3, 4, 2;
%e A358327      1, 2, 4, 3, 4;
%e A358327      0, 1, 2, 4, 3]
%t A358327 Join[{1}, Table[Max[Table[Permanent[ToeplitzMatrix[Part[Permutations[Join[{0}, Range[n-1]]], i]]],{i,n!}]],{n,9}]]
%Y A358327 Cf. A351020.
%Y A358327 Cf. A358323 (minimal determinant), A358324 (maximal determinant), A358326 (minimal).
%K A358327 nonn,hard,more
%O A358327 0,4
%A A358327 _Stefano Spezia_, Nov 09 2022
%E A358327 a(10) and a(11) from _Lucas A. Brown_, Nov 16 2022