What is Fibonacci Sequence

F(0):= 0, F(1):= 1, F(n):= F(n-1) + F(n-2). That is, after two starting values, each number is the sum of the two preceding numbers. The first Fibonacci numbers, also denoted as Fn, for n = 0, 1, … , are:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, ...
(Sometimes this sequence is considered to start at F1 = 1, but in this article it is regarded as beginning with F0=0.)

The Fibonacci numbers are named after Leonardo of Pisa, known as Fibonacci, although they had been described earlier in India.[1][2]

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http://en.wikipedia.org/wiki/Fibonacci_number