%I #6 Jul 12 2012 00:39:59
%S 1,2,8,75,1157,23974,655636,24625600,1208111716,71223596496,
%T 5012804515680,428588572904208,43766538817494528,5110290596191238784,
%U 679891748332818756096
%N Permanent of the n-th principal submatrix of A204551.
%t f[i_, j_] :=
%t Floor[(2 i + 2 j + 1)/4] - Floor[(i + j)/4];
%t m[n_] := Table[f[i, j], {i, 1, n}, {j, 1, n}]
%t TableForm[m[16]] (* 8x8 principal submatrix *)
%t Flatten[Table[f[i, n + 1 - i],
%t {n, 1, 14}, {i, 1, n}]] (* A204551 *)
%t Permanent[m_] :=
%t With[{a = Array[x, Length[m]]},
%t Coefficient[Times @@ (m.a), Times @@ a]];
%t Table[Permanent[m[n]], {n, 1, 15}] (* A204552 *)
%Y Cf. A204551.
%K nonn
%O 1,2
%A _Clark Kimberling_, Jan 16 2012