Harmonic numbers and sums

$\displaystyle \sum _{ n=1 }^{ \infty }{ { \left(\frac { { H }_{ n } }{ n } \right) }^{ 2 } }$

If the above summation can be stated in the form $\dfrac { A{ \pi }^{ B } }{ C }$ for positive integers $A,B,C$ with $\text{gcd}(A,C) = 1$ .

What is the value of $A+B+C$ ?

Details and Assumptions

$H_n$ is the $n^\text{th}$ Harmonic number, $\displaystyle {H}_{n} = \sum _{ r=1 }^{ n }{ \frac { 1 }{ r } }$