Optimizing self-response! That fails for six because n-3 and 3 co-occur. With a slight modification we can make it work for all n>5 [n, n-1] [2, n-2, n-1

Optimizing self-response! That fails for six because n-3 and 3 co-occur. With a slight modification we can make it work for all n>5 [n, n-1] [2, n-2, n-1] [2, n-3, 1, n-1] [2, n-3, n] [n-1, n] edit: and it's not hard to show that n<6 are impossible, so the solution above is optimal in that sense.