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A204425
Infinite matrix: f(i,j)=(2i+j+1 mod 3), by antidiagonals.
3
1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0
OFFSET
1,2
COMMENTS
A block matrix over {0,1,2}. See A204263 for a guide to related matrices and permanents.
EXAMPLE
Northwest corner:
1 2 0 1 2 0
0 1 2 0 1 2
2 0 1 2 0 1
1 2 0 1 2 0
0 1 2 0 1 2
2 0 1 2 0 1
MATHEMATICA
f[i_, j_] := Mod[2 i + j + 1, 3];
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}]] (* A204425 *)
Permanent[m_] :=
With[{a = Array[x, Length[m]]},
Coefficient[Times @@ (m.a), Times @@ a]];
Table[Permanent[m[n]], {n, 1, 22}] (* A204426 *)
CROSSREFS
Sequence in context: A283319 A376081 A049321 * A245187 A292598 A079113
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Jan 15 2012
STATUS
approved