To represent a game state use the Hanoi (record) type:
initial = Rods [1,2,3] [] []
The above describes three discs in the leftmost rod (A) and the other rods (B and C) being empty.
To get the list of minimal moves from an initial state only, use:
getMoves initial
It returns a list of moves AB, AC, ... representing a move from rod A to B and A to C, respectively.
To apply the list returned from getMoves to the initial game state, use play, it will output the list of the game state after each move.
That is, you can simply use play initial.
To solve and play from an initial game set with n discs, use playWith n.