A364234 a(n) is the number of n X n nonsingular symmetric Toeplitz matrices using all the first n prime numbers.

1, 2, 6, 24, 120, 718, 5036, 40316, 362862, 3628786, 39916701, 479001517

Offset

1,2

Links

Table of n, a(n) for n=1..12.

Wikipedia, Toeplitz Matrix

Mathematica

a[n_]:=Count[Table[MatrixRank[ToeplitzMatrix[Part[Permutations[Prime[Range[n]]], i]]], {i, n!}], n]; Array[a, 8]

Crossrefs

Right diagonal of A364233.

Cf. A348891 (minimal nonzero absolute value determinant), A350955 (minimal determinant), A350956 (maximal determinant), A351021 (minimal permanent), A351022 (maximal permanent).

Sequence in context: A224287 A248838 A364231 * A052398 A047890 A297204

Adjacent sequences: A364231 A364232 A364233 * A364235 A364236 A364237

Keyword

nonn,hard,more

Author

Stefano Spezia, Jul 14 2023

Extensions

a(10)-a(12) from Andrew Howroyd, Dec 31 2023

Status

approved