Prove recurrence relationship of Catalan Numbers.
Question: Let n be a non-negative integer. The number, x[n], of topologically distinct binary trees with n nodes can be shown to satisfy the following recurrence (x = 1):
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Please see the attached file for proof of Recurrence Relationship of Catalan Numbers by Mathematical Induction.
This can be proved by the method of Mathematical Induction.
Let P(n): , where and x =1
For n=1, ...
The expert proves recurrence relationship of Catalan Numbers.