Consider Tower Hanoi with 3 poles and 10 disks of distinct sizes. A disk can only be place on the bottom level or on the bigger disk.  If the three poles are identical, how many valid configurations are there? Be careful on this one and make sure your answer is integer.

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 Consider Tower Hanoi with 3 poles and 10 disks of distinct sizes. A disk can only
be place on the bottom level or on the bigger disk.

 If the three poles are identical, how many valid configurations are there? Be
careful on this one and make sure your answer is integer.

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