User blog comment:LittlePeng9/ITTM galore/@comment-10429372-20140325195109/@comment-10429372-20140326132656

Here is the right machine for 3 states, 1 tape:

0 _ _ r 0 0 1 _ r 0 1 _ _ r 2 1 1 _ l 2 2 _ 1 l 0 2 1 _ l 2 L _ _ r 1 L 1 _ l halt

For 4 states, one tape:

0 _ _ r 0 0 1 _ r 0 1 _ _ r 2 1 1 _ l 3 2 _ _ l 3 2 1 _ l 3 3 _ 1 l 0 3 1 _ l 3 L _ _ r 1 L 1 _ l halt

and so on...