How to prove the identity $\sum_{n=1}^{\infty} \dfrac{{H_{n}}^2}{n^2} = \dfrac{17}{360} {\pi}^4$?

Question

Prove That

$$\sum_{n=1}^{\infty} \dfrac{{H_{n}}^2}{n^2} = \dfrac{17}{360} {\pi}^4$$

I encountered this identity while reading the article about Harmonic Number on Wikipedia. I thought of using the integral representation of Harmonic Number, but the square is creating trouble.

Any help will be appreciated.
Thanks.