Some Quick notes on 4 peg ToH
Here are some quick results that I have found. This is a spread sheet with the number of moves that it took for 4 peg and 3 peg. On the second sheet you can see some unproved formulas.
http://spreadsheets.google.com/ccc?key=pRxUDwKj7i9opcHqK-Dz7cw

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