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Problem of the Day #80: Tangential Thoughts June 7, 2011

Posted by Saketh in : potd , trackback

Let $f$ be the function defined as follows: $$f(0) = 1$$ $$f(n) = (1+\tan{n^\circ})f(n-1)$$ Given that $\log_2{f(45)}$ is an integer, compute its exact value.

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