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%I #6 Jul 12 2012 00:39:59
%S 0,0,1,2,4,8,72,288,864,3456,35424,212544,1088640,6220800,75064320,
%T 600514560,4147200000,31684608000,440681472000,4406814720000,
%U 39103948800000,373098700800000
%N Permanent of the n-th principal submatrix of A204547.
%t f[i_, j_] := Floor[(i + j + 4)/4] - Floor[(i + j + 2)/4];
%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}]] (* A204547 *)
%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}] (* A204548 *)
%Y Cf. A204547, A204269.
%K nonn
%O 1,4
%A _Clark Kimberling_, Jan 16 2012
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