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