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A364234
a(n) is the number of n X n nonsingular symmetric Toeplitz matrices using all the first n prime numbers.
1
1, 2, 6, 24, 120, 718, 5036, 40316, 362862, 3628786, 39916701, 479001517
OFFSET
1,2
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
KEYWORD
nonn,hard,more
AUTHOR
Stefano Spezia, Jul 14 2023
EXTENSIONS
a(10)-a(12) from Andrew Howroyd, Dec 31 2023
STATUS
approved