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 A204431 #5 Mar 30 2012 18:58:08 %S A204431 2,1,1,0,0,0,2,2,2,2,1,1,1,1,1,0,0,0,0,0,0,2,2,2,2,2,2,2,1,1,1,1,1,1, %T A204431 1,1,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,0,0, %U A204431 0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1 %N A204431 Symmetric matrix: f(i,j)=(2i+j+1 mod 3), by antidiagonals. %C A204431 A block matrix over {0,1,2}. See A204263 for a guide to related matrices and permanents. %e A204431 Northwest corner: %e A204431 2 1 0 2 1 0 %e A204431 1 0 2 1 0 2 %e A204431 0 2 1 0 2 1 %e A204431 2 1 0 2 1 0 %e A204431 1 0 2 1 0 2 %e A204431 0 2 1 0 2 1 %t A204431 f[i_, j_] := Mod[2 i + 2 j + 1, 3]; %t A204431 m[n_] := Table[f[i, j], {i, 1, n}, {j, 1, n}] %t A204431 TableForm[m[8]] (* 8x8 principal submatrix *) %t A204431 Flatten[Table[f[i, n + 1 - i], %t A204431 {n, 1, 14}, {i, 1, n}]] (* A204431 *) %t A204431 Permanent[m_] := %t A204431 With[{a = Array[x, Length[m]]}, %t A204431 Coefficient[Times @@ (m.a), Times @@ a]]; %t A204431 Table[Permanent[m[n]], {n, 1, 22}] (* A204432 *) %Y A204431 Cf. A204431, A204263. %K A204431 nonn,tabl %O A204431 1,1 %A A204431 _Clark Kimberling_, Jan 15 2012