OFFSET
3,3
COMMENTS
The offset is 3 because for n = 2 the unique symmetric Toeplitz matrix having 1 on the main diagonal and 1 off-diagonal is singular.
Conjecture: all the terms are odd.
LINKS
EXAMPLE
a(5) = 3:
[1, 1, 2, 3, 4]
[1, 1, 1, 2, 3]
[2, 1, 1, 1, 2]
[3, 2, 1, 1, 1]
[4, 3, 2, 1, 1]
MATHEMATICA
a[n_]:=Min[Select[Table[Abs[Det[ToeplitzMatrix[Join[{1}, Part[Permutations[Range[n - 1]], i]]]]], {i, (n-1)!}], Positive]]; Array[a, 8, 3]
CROSSREFS
KEYWORD
nonn,hard,more,changed
AUTHOR
Stefano Spezia, Jul 01 2024
EXTENSIONS
a(11)-a(14) from Lucas A. Brown, Oct 10 2024
STATUS
approved