# Understanding a “strange” output about a finite sum

Input:

Sum[HarmonicNumber[k]/k^2, {k, 1, m}]


That is

$$\sum_{k = 1}^{m} \frac{H_k}{k^2}$$

Output

I will attach a screenshot for I don't even know how to write it. And ys, I have tried to copu-paste it as LaTeX and as input command but it does not work.

Can someone help me in understanding what it does mean?

$$s_m=\sum_{k = 1}^{m} \frac{H_k}{k^2}.$$
The MA output means that $$s_m$$ fulfills the recursion relation
$$(m+2)^3 s_{m+2}=1+(m+2) \left(2 m^2+6 m+5\right) s_{m+1}-(m+1)^2 (m+2) s_{m}$$ with initial conditions $$s_1=1,\quad s_2=\frac{11}{8}.$$