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A204423 Infinite matrix: f(i,j)=(2i+j mod 3), by antidiagonals. 3
0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

An infinite block matrix over {0,1,2}.  See A204263 for a guide to related matrices and permanents.

LINKS

Table of n, a(n) for n=1..99.

EXAMPLE

Northwest corner:

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

1 2 0 1 2 0

MATHEMATICA

f[i_, j_] := Mod[2 i + j, 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}]]      (* A204423 *)

Permanent[m_] :=

  With[{a = Array[x, Length[m]]},

   Coefficient[Times @@ (m.a), Times @@ a]];

Table[Permanent[m[n]], {n, 1, 22}]   (* A204424 *)

CROSSREFS

Cf. A204424, A204263.

Sequence in context: A292592 A292274 A317675 * A112170 A259976 A113685

Adjacent sequences:  A204420 A204421 A204422 * A204424 A204425 A204426

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Jan 15 2012

STATUS

approved

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Last modified November 12 09:01 EST 2019. Contains 329052 sequences. (Running on oeis4.)