%I #6 Jul 12 2012 00:39:59
%S 1,2,9,34,144,1032,6936,48816,530712,5005152,50015232,707802624,
%T 8714718720,112586112000,1938416832000,29588291712000,469224244224000,
%U 9509523337728000,173318541516288000,3261008730405888000
%N Permanent of the n-th principal submatrix of A204429.
%t f[i_, j_] := Mod[2 i + 2 j, 3]; (* symmetric *)
%t m[n_] := Table[f[i, j], {i, 1, n}, {j, 1, n}]
%t TableForm[m[8]] (* 8x8 principal submatrix *)
%t Flatten[Table[f[i, n + 1 - i],
%t {n, 1, 14}, {i, 1, n}]] (* A204429 *)
%t Permanent[m_] :=
%t With[{a = Array[x, Length[m]]},
%t Coefficient[Times @@ (m.a), Times @@ a]];
%t Table[Permanent[m[n]], {n, 1, 22}] (* A204430 *)
%Y Cf. A204229, A204263.
%K nonn
%O 1,2
%A _Clark Kimberling_, Jan 15 2012