Recursively Defined Sequence: Fibonacci variation - Part 1 of 2

Defining a sequence similar to the Fibonacci sequence based on a different breed of rabbits.

Suppose that these rabbits behave exactly like the Fibonacci rabbits except that they are not fertile in the first three months of their life , but thereafter they give birth to two new male/female pairs at the end of every month.

Define the sequence = the number of pairs of rabbits alive at the end of month n. Like with the original Fibonacci sequence, we are starting with one pair of baby rabbits, and therefore 0 = 1.

A table detailing all the rabbit pairs alive at the end of months 0 to 7 inclusive, and showing the values of all the for i from 0 to 7 inclusive is included for reference.

Explanation: Rabbit pairs are not having babies in the first three months of their lives After that, each pair gives birth to a new pair of rabbits every month Rabbit pairs are named as follows: .