A204433 Symmetric matrix: f(i,j) = (2*i + 2*j + 2) mod 3, by antidiagonals.

0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 2, 2, 2, 2, 2, 2, 2, 2

Offset

1,2

Comments

A 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 2 1 0 2 1
2 1 0 2 1 0
1 0 2 1 0 2
0 2 1 0 2 1
2 1 0 2 1 0
1 0 2 1 0 2

Mathematica

f[i_, j_] := Mod[2 i + 2 j + 2, 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}]]

Crossrefs

Cf. A204432, A204434, A204263.

Sequence in context: A320638 A262045 A263087 * A004578 A319372 A319367

Adjacent sequences: A204430 A204431 A204432 * A204434 A204435 A204436

Keyword

nonn,tabl

Author

Clark Kimberling, Jan 15 2012

Extensions

Definition corrected by Georg Fischer, Oct 25 2021

Status

approved