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Let f(n) = \left [ \right\sqrt{n}+\frac{1}{2} ] where [x] greatest integer less than equal to x) for all (n\in N). Then \sum_{n=1}^{\infty }\frac{2^{f(n)} + 2^{-f(n)}}{2^{n}} is equal to

Let f(n) = \left [ \right\sqrt{n}+\frac{1}{2} ] where [x] greatest integer less than equal to x) for all (n\in N). Then \sum_{n=1}^{\infty }\frac{2^{f(n)} + 2^{-f(n)}}{2^{n}} is equal to 

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