Some solutions for n=1
..1..0..0..0..0..0....1..0..0..0..0..0....1..1..0..0..0..0....1..1..0..0..0..0
..2..2..0..0..0..0....2..3..0..0..0..0....3..1..0..0..0..0....0..0..0..0..0..0
..1..2..0..0..1..1....1..1..2..1..0..2....1..2..1..0..3..1....3..0..0..1..1..2