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A204444 Permanent of the n-th principal submatrix of A204443.

%I A204444 #6 Jul 12 2012 00:39:59
%S A204444 1,1,2,9,34,140,672,4752,32304,230832,1780704,17927568,175473216,
%T A204444 1780206336,18988867584,248341303296,3173837230080,41713375334400,
%U A204444 568818754560000,9150176586240000,144343174487040000,2329812142295040000
%N A204444 Permanent of the n-th principal submatrix of A204443.
%t A204444 f[i_, j_] := Floor[(i + j + 3)/4] - Floor[(i + j)/4];
%t A204444 m[n_] := Table[f[i, j], {i, 1, n}, {j, 1, n}]
%t A204444 TableForm[m[8]] (* 8x8 principal submatrix *)
%t A204444 Flatten[Table[f[i, n + 1 - i],
%t A204444   {n, 1, 14}, {i, 1, n}]]   (* A204443 *)
%t A204444 Permanent[m_] :=
%t A204444   With[{a = Array[x, Length[m]]},
%t A204444    Coefficient[Times @@ (m.a), Times @@ a]];
%t A204444 Table[Permanent[m[n]], {n, 1, 22}]    (* A204444 *)
%Y A204444 Cf. A204243, A204435.
%K A204444 nonn
%O A204444 1,3
%A A204444 _Clark Kimberling_, Jan 15 2012