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Let f(x)=pi/4+cos^-1(x/sqrt(1+x^2)) ta...

Let `f(x)=pi/4+cos^-1(x/sqrt(1+x^2)) tan^-1 x and a_i (a_i a_(i+1) AA i = 1,2,3,......,n)` be the positive integral values of x for which `sgn(f(x))=1`, where `sgn(y)` denotes signum function ofy. Find `sum_(i=1)^n a_i^2`.

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