|
%I #12 Dec 31 2023 12:43:11
%S 1,2,6,24,120,718,5036,40316,362862,3628786,39916701,479001517
%N a(n) is the number of n X n nonsingular symmetric Toeplitz matrices using all the first n prime numbers.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Toeplitz_matrix">Toeplitz Matrix</a>
%t a[n_]:=Count[Table[MatrixRank[ToeplitzMatrix[Part[Permutations[Prime[Range[n]]], i]]], {i, n!}], n]; Array[a, 8]
%Y Right diagonal of A364233.
%Y Cf. A348891 (minimal nonzero absolute value determinant), A350955 (minimal determinant), A350956 (maximal determinant), A351021 (minimal permanent), A351022 (maximal permanent).
%K nonn,hard,more
%O 1,2
%A _Stefano Spezia_, Jul 14 2023
%E a(10)-a(12) from _Andrew Howroyd_, Dec 31 2023
|
