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 A204269 Symmetric matrix: f(i,j)=floor[(i+j+2)/4]-floor[(i+j)/4], by (constant) antidiagonals. 8
 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 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, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1 COMMENTS A block matrix over {0,1}.  In the following guide to related matrices and permanents, Duvwxyz represents the matrix remaining after row 1 of the matrix Auvwxyz is deleted: Matrix................Permanent of n-th submatrix A204269=D204549.......A204422 A204545=D204269.......A204546 A204547=D204545.......A204548 A204549=D204547.......A204550 LINKS G. C. Greubel, Table of n, a(n) for the first 100 antidiagonals EXAMPLE Northwest corner: 1 1 0 0 1 1 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 0 1 1 0 0 1 1 0 1 1 0 0 1 1 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 0 1 1 0 0 1 1 0 MATHEMATICA f[i_, j_] := Floor[(i + j + 2)/4] - Floor[(i + j)/4]; m[n_] := Table[f[i, j], {i, 1, n}, {j, 1, n}] TableForm[m[8]] (* 8x8 principal submatrix *) Flatten[Table[f[i, n + 1 - i],   {n, 1, 14}, {i, 1, n}]]    (* A204269 *) Permanent[m_] :=   With[{a = Array[x, Length[m]]},    Coefficient[Times @@ (m.a), Times @@ a]]; Table[Permanent[m[n]], {n, 1, 22}]    (* A204422 *) CROSSREFS Cf. A204448, A204435. Sequence in context: A014087 A014042 A014075 * A179830 A266216 A025446 Adjacent sequences:  A204266 A204267 A204268 * A204270 A204271 A204272 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Jan 16 2012 STATUS approved

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Last modified January 27 01:45 EST 2021. Contains 340443 sequences. (Running on oeis4.)