|Perl: the Markov chain saw|
This runs on ActiveState Perl 5.10.0 as it is written, which is really a nice implementation for visualization of the problem space... :)
I tinkered with it a little, added a variable to count the number of moves. 10 disks were my limit, that solves fairly quickly. Never did get to the 21 disc version, I didn't want to wait that long. :)
However, one of the links published by dragonchild led me to this site:
where I found a short history of the tale, seems there are 64! discs, so the final solution works out to ~585 billion years or so, moving one disc a second...too much time for me to spend...but it was a very interesting exercise... ;>)
"No trees were harmed in the creation of this node. However, a rather large number of electrons were somewhat inconvenienced."