Fibonacci numbers

Fibonacci numbers are the numbers in a sequence defined as follows:

$$F_0 = 0, F_1 = 1, F_n = F_{n-1} + F_{n-2}$$

The first several elements of the sequence (OEIS) are:

$$0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...$$

Properties

Fibonacci numbers possess a lot of interesting properties. Here are a few of them: