A287108: Only 11 distinct triple patterns: {0, 0, 2}, {0, 1, 0}, {0, 2, 1}, {1, 0, 0}, {1, 0, 1}, {1, 0, 2}, {1, 1, 0}, {1, 2, 1}, {2, 1, 0}, {2, 1, 1}, {2, 1, 2}. Any proof that other 3-patterns not possible?