I'd suggest revisiting your analysis of how good 4 pegs are. With your program I see: 
10 disks with 4 pegs: Solved in 57 moves
20 disks with 4 pegs: Solved in 1137 moves
30 disks with 4 pegs: Solved in 33377 moves
40 disks with 4 pegs: Solved in 1050849 moves

[download]
That doesn't look like O(n*log(n)) to me!

Does anyone else think that they can do better?

In reply to Re^2: Hanoi Challenge by tilly
in thread Hanoi Challenge by tilly

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