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Summa Summarum | Summa Summarum #3

Odredi vrijednost ove beskonačne sume S=\sum_{n=0}^{\infty} \frac{2^n}{3^{2^n}+1}

Evaluate the following infinite series S=\sum_{n=0}^{\infty} \frac{2^n}{3^{2^n}+1}