Let's assume that the superking starts at the red square at the center of the board shown below. After one Type2 move, the superking can land in one of the blue squares. After the second Type2 move, the superking can land in one of the red squares. After a final Type1 move, the superking can land in any square neighboring a red square, i.e., one of the green squares. These are the possible final landing squares for the king after 1 Type1 and 2 Type2 moves, 60 in total (note that it is not important in which order we make the moves; here, we first did the two Type2 moves and then the Type1 move).
