This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A369947 #17 Feb 12 2024 12:34:33 %S A369947 1,2,11,286,86087,9603283,1764195984 %N A369947 a(n) is the maximal determinant of an n X n Hankel matrix using the first 2*n - 1 prime numbers. %H A369947 Wikipedia, <a href="https://en.wikipedia.org/wiki/Hankel_matrix">Hankel matrix</a>. %e A369947 a(2) = 11: %e A369947 3, 2; %e A369947 2, 5. %e A369947 a(3) = 286: %e A369947 3, 11, 5; %e A369947 11, 5, 7; %e A369947 5, 7, 2. %e A369947 a(4) = 86087: %e A369947 7, 3, 13, 17; %e A369947 3, 13, 17, 2; %e A369947 13, 17, 2, 11; %e A369947 17, 2, 11, 5. %t A369947 a[n_] := Max[Table[Det[HankelMatrix[Join[Drop[per = Part[Permutations[Prime[Range[2 n - 1]]], i], n], {Part[per, n]}], Join[{Part[per, n]}, Drop[per, - n]]]], {i, (2 n - 1) !}]]; Join[{1}, Array[a, 5]] %o A369947 (PARI) a(n) = my(v=[1..2*n-1], m=-oo, d); forperm(v, p, d = matdet(matrix(n, n, i, j, prime(p[i+j-1]))); if (d>m, m = d)); m; \\ _Michel Marcus_, Feb 08 2024 %o A369947 (Python) %o A369947 from itertools import permutations %o A369947 from sympy import primerange, prime, Matrix %o A369947 def A369947(n): return max(Matrix([p[i:i+n] for i in range(n)]).det() for p in permutations(primerange(prime((n<<1)-1)+1))) if n else 1 # _Chai Wah Wu_, Feb 12 2024 %Y A369947 Cf. A024356, A368352. %Y A369947 Cf. A369946 (minimal), A350933 (maximal absolute value), A369949, A350940 (maximal permanent). %K A369947 nonn,hard,more %O A369947 0,2 %A A369947 _Stefano Spezia_, Feb 06 2024 %E A369947 a(6) from _Michel Marcus_, Feb 08 2024