The Fibonacci sequence is a set of steadily increasing numbers where each number is equal to the sum of the preceding two numbers.

The Fibonacci numbers, F [x] (starting with 0), display a variety of patterns, including several interesting cycles. For example, the sequence begins with the numbers F [0] = 0, F [1] = 1, F [2 ...

Essentially, it's a sequence of numbers developed by the medieval Italian mathematician Leonardo Fibonacci, where each successive integer represents the sum of the two numbers preceding it.