MatLab source code needed for solving the following algorithm. First derive the reccurance, and then solve and plot with MatLab. Please include source code and graph plots.

2. Derive a recurrence for the number P(n) of ways of parenthesizing an expression with n atoms. Compute and plot P(n) vs n for 2s n s 20. 2. Derive a recurrence for the number P(n) of ways of parenthesizing an expression with n atoms. Compute and plot P(n) vs n for 2s n s 20