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%I #16 Oct 13 2022 06:49:14
%S 1,2,13,289,13814,1795898,265709592,70163924440,20610999526800,
%T 9097511018219760,6845834489829830144
%N Maximal permanent of an n X n symmetric Toeplitz matrix using the first n prime numbers.
%H Lucas A. Brown, <a href="https://github.com/lucasaugustus/oeis/blob/main/A351021%2B2.sage">A351021+2.sage</a>
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Toeplitz_matrix">Toeplitz Matrix</a>
%e a(3) = 289:
%e 3 5 2
%e 5 3 5
%e 2 5 3
%e a(4) = 13814:
%e 5 7 3 2
%e 7 5 7 3
%e 3 7 5 7
%e 2 3 7 5
%e a(5) = 1795898:
%e 5 11 7 3 2
%e 11 5 11 7 3
%e 7 11 5 11 7
%e 3 7 11 5 11
%e 2 3 7 11 5
%o (Python)
%o from itertools import permutations
%o from sympy import Matrix, prime
%o def A351022(n): return 1 if n == 0 else max(Matrix([p[i:0:-1]+p[0:n-i] for i in range(n)]).per() for p in permutations(prime(i) for i in range(1,n+1))) # _Chai Wah Wu_, Jan 31 2022
%Y Cf. A350940, A350956, A351021 (minimal).
%K nonn,hard,more
%O 0,2
%A _Stefano Spezia_, Jan 29 2022
%E a(9) and a(10) from _Lucas A. Brown_, Sep 04 2022
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