# Divisible Fibonacci? Sounds crazy!

The fibonacci sequence is defined as $$F_0=0,F_1=1$$ and for $$n\geq 2$$, $F_n=F_{n-1}+F_{n-2}$

Thus, the fibonacci sequence is $$0,1,1,2,3,5,8,13,...$$

Find the sum of all the numbers less than $$\textbf{1 billion}$$ which appear in the $$\textbf{Fibonacci Sequence}$$ and are divisible by $$3$$.

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