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 A204257 #7 Mar 30 2012 18:58:08 %S A204257 1,3,2,2,1,3,1,3,2,1,3,2,1,3,2,2,1,3,2,1,3,1,3,2,1,3,2,1,3,2,1,3,2,1, %T A204257 3,2,2,1,3,2,1,3,2,1,3,1,3,2,1,3,2,1,3,2,1,3,2,1,3,2,1,3,2,1,3,2,2,1, %U A204257 3,2,1,3,2,1,3,2,1,3,1,3,2,1,3,2,1,3,2,1,3,2,1,3,2,1,3,2,1,3,2 %N A204257 Matrix given by f(i,j)=1+[(i+2j) mod 3], by antidiagonals. %e A204257 Northwest corner: %e A204257 1 3 2 1 3 2 1 3 %e A204257 2 1 3 2 1 3 2 1 %e A204257 3 2 1 3 2 1 3 2 %e A204257 1 3 2 1 3 2 1 3 %e A204257 2 1 3 2 1 3 2 1 %e A204257 3 2 1 3 2 1 3 2 %t A204257 f[i_, j_] := 1 + Mod[i + 2 j, 3]; %t A204257 m[n_] := Table[f[i, j], {i, 1, n}, {j, 1, n}] %t A204257 TableForm[m[8]] (* 8x8 principal submatrix *) %t A204257 Flatten[Table[f[i, n + 1 - i], %t A204257 {n, 1, 12}, {i, 1, n}]] (* A204257 *) %t A204257 Permanent[m_] := %t A204257 With[{a = Array[x, Length[m]]}, %t A204257 Coefficient[Times @@ (m.a), Times @@ a]]; %t A204257 Table[Permanent[m[n]], {n, 1, 20}] (* A204258 *) %Y A204257 Cf. A204258. %K A204257 nonn,tabl %O A204257 1,2 %A A204257 _Clark Kimberling_, Jan 14 2012