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A204446 Permanent of the n-th principal submatrix of A204445.

%I A204446 #6 Jul 12 2012 00:39:59
%S A204446 1,1,3,9,34,116,792,4752,32304,202320,1991952,17927568,175473216,
%T A204446 1613364480,20695108608,248341303296,3173837230080,38575603814400,
%U A204446 610011772416000,9150176586240000,144343174487040000,2183607168215040000
%N A204446 Permanent of the n-th principal submatrix of A204445.
%t A204446 f[i_, j_] :=
%t A204446 Floor[(i + j + 4)/4] - Floor[(i + j + 1)/4];
%t A204446 m[n_] := Table[f[i, j], {i, 1, n}, {j, 1, n}]
%t A204446 TableForm[m[8]] (* 8x8 principal submatrix *)
%t A204446 Flatten[Table[f[i, n + 1 - i],
%t A204446   {n, 1, 14}, {i, 1, n}]]    (* A204445 *)
%t A204446 Permanent[m_] :=
%t A204446   With[{a = Array[x, Length[m]]},
%t A204446    Coefficient[Times @@ (m.a), Times @@ a]];
%t A204446 Table[Permanent[m[n]], {n, 1, 22}] (* A204446 *)
%Y A204446 Cf. A204245, A204435.
%K A204446 nonn
%O A204446 1,3
%A A204446 _Clark Kimberling_, Jan 15 2012