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MathNet 2006 — Part 01 Question 13

Math Olympiad Vault · MathNet 2006 — Part 01

Question 13

Compute the value of the infinite series
$$
\sum_{n=2}^{\infty} \frac{n^{4}+3 n^{2}+10 n+10}{2^{n} \cdot\left(n^{4}+4\right)}
$$