OFFSET
2,2
COMMENTS
The offset is 2 because for n = 1 the matrix is null, and hence, singular.
LINKS
Wikipedia, Toeplitz Matrix.
EXAMPLE
a(5) = 2:
[0, 4, 1, 2, 3]
[4, 0, 4, 1, 2]
[1, 4, 0, 4, 1]
[2, 1, 4, 0, 4]
[3, 2, 1, 4, 0]
MATHEMATICA
a[n_]:=Min[Select[Table[Abs[Det[ToeplitzMatrix[Join[{0}, Part[Permutations[Range[n-1]], i]]]]], {i, (n-1)!}], Positive]]; Array[a, 9, 2]
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Stefano Spezia, Jul 02 2024
STATUS
approved