A string can contain only the characters A and B.

The string formation must follow the following rules
1. The number of occurrences of A and that of B must be equal in the
string
2. For any prefix of string, the number occurrences of A must be
greater than or equal to the number of occurrences of B.

Now given an integer of length N, find the number of possible string
formations adhering the rules above.

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