Figure-It-Out Function! - Part 6: The Second Reciprocal

Algebra Level 5

Let there be a function \(f(x)\), such that

\(f(x)=\frac{1}{f(x-1)+f(x+1)}\)

\(f(1)=2\), \(f(2)=1\)

Find \((f(2014)f(2015))^{(f(2012)f(2013))^{...^{...^{(f(2)f(3))^{f(1)}}}}}\)

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