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450: Mainline

Now, suppose that the number of users of your movie-evaluation service is growing like a colony of rabbits. You are asked to predict what the number of users will be after n months. Fortunately, Fibonacci figured out long ago how fast his particular breed of rabbits multiply, deriving a formula that gives the number of female Fibonacci rabbits after n months, under the following assumptions: Female Fibonacci rabbits mature 1 month after birth. Once they mature, female Fibonacci rabbits have one female child each month. At the beginning of the first month, there is one immature female Fibonacci rabbit. Fibonacci rabbits live forever. And there are always enough Fibonacci males on hand to mate with all the mature females.