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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.
8
1, 0, 1, 4, 34, 744, 17585, 688202, 33248174, 2144597292, 169696358796, 16521881847592
OFFSET
0,4
EXAMPLE
a(3) = 4:
[0, 1, 2;
1, 0, 1;
2, 1, 0]
a(4) = 34:
[1, 0, 2, 3;
0, 1, 0, 2;
2, 0, 1, 0;
3, 2, 0, 1]
a(5) = 744:
[1, 0, 2, 3, 4;
0, 1, 0, 2, 3;
2, 0, 1, 0, 2;
3, 2, 0, 1, 0;
4, 3, 2, 0, 1]
MATHEMATICA
Join[{1}, Table[Min[Table[Permanent[ToeplitzMatrix[Part[Permutations[Join[{0}, Range[n-1]]], i]]], {i, n!}]], {n, 9}]]
CROSSREFS
Cf. A351019.
Cf. A358323 (minimal determinant), A358324 (maximal determinant), A358327 (maximal).
Sequence in context: A222789 A326206 A088077 * A162079 A353041 A113231
KEYWORD
nonn,hard,more
AUTHOR
Stefano Spezia, Nov 09 2022
EXTENSIONS
a(10) and a(11) from Lucas A. Brown, Nov 16 2022
STATUS
approved