OFFSET
2,1
COMMENTS
The offset is 2 because for n = 1 the unique symmetric Toeplitz matrix is singular.
LINKS
Wikipedia, Toeplitz Matrix.
EXAMPLE
a(5) = 192:
[0, 5, 3, 2, 7]
[5, 0, 5, 3, 2]
[3, 5, 0, 5, 3]
[2, 3, 5, 0, 5]
[7, 2, 3, 5, 0]
MATHEMATICA
a[n_]:=Min[Select[Table[Abs[Det[ToeplitzMatrix[Join[{0}, Part[Permutations[Prime[Range[n-1]]], i]]]]], {i, (n-1)!}], Positive]]; Array[a, 8, 2]
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Stefano Spezia, Jul 07 2024
STATUS
approved