Define Tower of Hanoi problem as a recurrence relation problem and solve it through a recurrence tree.

The Tower of Hanoi problem is a classic mathematical puzzle that involves moving a stack of disks from one peg to another peg, using a third peg as an auxiliary, following specific rules. The problem is defined as a recurrence relation, where the solution for a given number of disks is expressed in terms of the solution for a smaller number of disks.

Let's define the Tower of Hanoi problem as a recurrence relation, assuming there are n disks to be moved from the source peg (A) to the destination peg (C), using the auxiliary peg (B):

1. Base Case: If n = 1, we can directly move the disk from the source peg to the destination peg. This requires one move.

1. Recursive Case: If n > 1, we need to perform the following steps:
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