How to calculate the closed form of the following Euler type Sums

\[\sum\limits_{n = 1}^\infty {\frac{{{H_n}}}{{{n^p}\sinh \left( {n\pi } \right)}}} = ?\]

Here the harmonic number $H_n$ is defined by

\[{H_n} = \sum\limits_{j = 1}^n {\frac{1}{j}}. \]