### Analytic series

Posted:

**Thu Mar 28, 2019 12:56 pm**Evaluate in a closed form the series:

$$\mathcal{S} = \sum_{n=-\infty}^{\infty} \frac{16}{\left ( 4n^2+n+5 \right )^2}$$

$$\mathcal{S} = \sum_{n=-\infty}^{\infty} \frac{16}{\left ( 4n^2+n+5 \right )^2}$$