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How to find? $\sum_{n=1}^{\infty}\frac{H_{n+1}}{n(n+1)}$

I would appreciate if somebody could help me with the following problem

Q: How to find?

$$\sum_{n=1}^{\infty}\frac{H_{n+1}}{n(n+1)}, \quad H_{n}=1+\frac{1}{2}+\cdots+\frac{1}{n}$$

Find by program mathematica 2 but...