Some solutions for n=4
..0..0..0..0....0..0..0..1....0..0..0..0....0..1..1..1....0..1..1..2
..0..0..0..0....0..0..0..1....0..0..0..0....0..1..1..1....2..2..2..2
..0..0..0..0....0..0..0..2....1..1..1..1....0..1..1..1....2..2..2..2
..1..1..0..1....0..0..0..1....1..1..1..1....1..1..1..1....2..2..2..2
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