%I #5 Mar 30 2012 18:58:08
%S 0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,
%T 0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,
%U 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1
%N Symmetric matrix: f(i,j)=floor[(i+j+5)/4]-floor[(i+j+3)/4], by (constant) antidiagonals.
%C A block matrix over {0,1}. For a guide to related matrices and permanents, see A204269 and A204453.
%e Northwest corner:
%e 0 1 1 0 0 1 1 0
%e 1 1 0 0 1 1 0 0
%e 1 0 0 1 1 0 0 1
%e 0 0 1 1 0 0 1 1
%e 0 1 1 0 0 1 1 0
%e 1 1 0 0 1 1 0 0
%e 1 0 0 1 1 0 0 1
%e 0 0 1 1 0 0 1 1
%t f[i_, j_] :=
%t Floor[(i + j + 5)/4] - Floor[(i + j + 3)/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}]] (* A204549 *)
%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}] (* A204550 *)
%Y Cf. A204550, A204296.
%K nonn,tabl
%O 1
%A _Clark Kimberling_, Jan 16 2012