# Fibonacci fun

$F_n = \sqrt { { F }_{ 2001 }{ F }_{ 1999 }+\frac { { F }_{ 2016 }{ F }_{ 2000 }-{ F }_{ 2010 }{ F }_{ 2006 } }{ 440 } }$

Let $$F_n$$ denote the $$n^\text{th}$$ Fibonacci number. Find the value of $$n$$ such that the equation above is fulfilled.

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