%I #9 Jul 08 2024 08:38:33
%S 1,1,5,59,2454,177998,36960008,7670953632,2822399976144,
%T 1061085324952592,598646324654443008
%N a(n) is the maximal permanent of an n X n symmetric Toeplitz matrix having 1 on the main diagonal and all the first n-1 primes off-diagonal.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Toeplitz_matrix">Toeplitz Matrix</a>.
%e a(5) = 177998:
%e [1, 7, 5, 3, 2]
%e [7, 1, 7, 5, 3]
%e [5, 7, 1, 7, 5]
%e [3, 5, 7, 1, 7]
%e [2, 3, 5, 7, 1]
%t a[n_]:=Max[Table[Permanent[ToeplitzMatrix[Join[{1},Part[Permutations[Prime[Range[n-1]]],i]]]],{i,(n-1)!}]]; Join[{1},Array[a,10]]
%Y Cf. A374067, A374278.
%Y Cf. A374340, A374341, A374342, A374343, A374067 (minimal).
%K nonn,hard,more
%O 0,3
%A _Stefano Spezia_, Jul 05 2024