n-1-H-n-2n-1-q-

Question Number 210896 by MrGHK last updated on 21/Aug/24

$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\overset{−} {{H}}_{{n}} }{\left(\mathrm{2}{n}+\mathrm{1}\right)^{{q}} }=?? \\ $$