A364229 a(n) is the number of n X n nonsingular Hermitian Toeplitz matrices using all the integers 1, 2, ..., n and with all off-diagonal elements purely imaginary.
1, 2, 5, 24, 120, 719, 5040, 40317, 362874, 3628798
Offset: 1
Links
- Wikipedia, Toeplitz Matrix
Crossrefs
Programs
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Mathematica
a[n_]:=Count[Flatten[Table[MatrixRank[ToeplitzMatrix[Join[{d}, I Part[Permutations[Drop[Range[n], {d}]], i]]]],{i,(n-1)!},{d,n}]],n]; Array[a,9]