A364231 a(n) is the number of n X n nonsingular symmetric Toeplitz matrices using all the integers 1, 2, ..., n.
1, 2, 6, 24, 120, 718, 5005, 40274, 362604, 3627915, 39909566, 478991256
Offset: 1
Links
- Wikipedia, Toeplitz Matrix
Crossrefs
Programs
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Mathematica
a[n_]:=Count[Table[MatrixRank[ToeplitzMatrix[Part[Permutations[Range[n]],i]]],{i,n!}],n]; Array[a,8]
Extensions
a(10)-a(12) from Andrew Howroyd, Dec 30 2023