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Sigma #3

Izračunaj \sum_{n = 1}^{\infty} \frac{\varphi (n) \cdot 2^n }{2^{2n} - 2^n}.
Calculate \sum_{n = 1}^{\infty} \frac{\varphi (n) \cdot 2^n }{2^{2n} - 2^n}.