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A358326 a(n) is the minimal permanent of an n X n symmetric Toeplitz matrix using the integers 0 to n - 1.

%I A358326 #10 Nov 16 2022 09:41:17
%S A358326 1,0,1,4,34,744,17585,688202,33248174,2144597292,169696358796,
%T A358326 16521881847592
%N A358326 a(n) is the minimal permanent of an n X n symmetric Toeplitz matrix using the integers 0 to n - 1.
%H A358326 Lucas A. Brown, <a href="https://github.com/lucasaugustus/oeis/blob/main/A358326%2B7.sage">A358326+7.sage</a>.
%H A358326 Wikipedia, <a href="http://en.wikipedia.org/wiki/Toeplitz_matrix">Toeplitz Matrix</a>
%e A358326 a(3) = 4:
%e A358326     [0, 1, 2;
%e A358326      1, 0, 1;
%e A358326      2, 1, 0]
%e A358326 a(4) = 34:
%e A358326     [1, 0, 2, 3;
%e A358326      0, 1, 0, 2;
%e A358326      2, 0, 1, 0;
%e A358326      3, 2, 0, 1]
%e A358326 a(5) = 744:
%e A358326     [1, 0, 2, 3, 4;
%e A358326      0, 1, 0, 2, 3;
%e A358326      2, 0, 1, 0, 2;
%e A358326      3, 2, 0, 1, 0;
%e A358326      4, 3, 2, 0, 1]
%t A358326 Join[{1}, Table[Min[Table[Permanent[ToeplitzMatrix[Part[Permutations[Join[{0}, Range[n-1]]], i]]],{i,n!}]],{n,9}]]
%Y A358326 Cf. A351019.
%Y A358326 Cf. A358323 (minimal determinant), A358324 (maximal determinant), A358327 (maximal).
%K A358326 nonn,hard,more
%O A358326 0,4
%A A358326 _Stefano Spezia_, Nov 09 2022
%E A358326 a(10) and a(11) from _Lucas A. Brown_, Nov 16 2022