Consider the function $f(x)=\frac {1} {\sqrt {1-x^2} }$ which is defined for all complex numbers apart from 1 and -1. $f^{(2011)} ( \frac {1} {5} )$ has the form $\frac {a\sqrt{b}} {c}$, where $a$ and $c$ are coprime integers and $b$ is not divisible by the square of any prime. What is the value of $a + b +c$?

**Details and assumptions**

$f^{(n)} (x)$ means that $f$ is applied $n$ times, e.g. $f^{(2)} (x) = f \circ f (x) = f( f( x) )$

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