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 A204424 #9 Oct 24 2024 05:41:00 %S A204424 0,2,9,16,144,1032,5184,48816,530712,4188672,50015232,707802624, %T A204424 7614259200,112586112000,1938416832000,26579819520000,469224244224000, %U A204424 9509523337728000,158654296829952000,3261008730405888000 %N A204424 Permanent of the n-th principal submatrix of A204423. %t A204424 f[i_, j_] := Mod[2 i + j, 3]; %t A204424 m[n_] := Table[f[i, j], {i, 1, n}, {j, 1, n}] %t A204424 TableForm[m[8]] (* 8x8 principal submatrix *) %t A204424 Flatten[Table[f[i, n + 1 - i], %t A204424 {n, 1, 14}, {i, 1, n}]] (* A204423 *) %t A204424 Permanent[m_] := %t A204424 With[{a = Array[x, Length[m]]}, %t A204424 Coefficient[Times @@ (m.a), Times @@ a]]; %t A204424 Table[Permanent[m[n]], {n, 1, 22}] (* A204424 *) %Y A204424 Cf. A204223, A204263. %K A204424 nonn %O A204424 1,2 %A A204424 _Clark Kimberling_, Jan 15 2012