Suppose a plant puts out a new shoot, and that shoot has to grow two months before

it is strong enough to support branching. If it branches every month after that at

the growing point, Give a recursion equation to describe number of branches after n

months, B(n), and find its closed form, where B(1) = 1 and B(2) = 1.

(Note: your answer should be more than just "this looks like X, which has closed form

Y". If you think it's X, you should prove/derive that.)

See the following diagram of the plant at months n = 0 through n = 5:

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