# Some Harmonic sum

Calculus Level 5

$\displaystyle \large \sum_{n=1}^{\infty}\dfrac{H_{n}}{2^{n+1} (n+1)} = ?$

Notation: $$H_n$$ denotes the $$n^\text{th}$$ harmonic number, $$H_n = 1 + \dfrac12 + \dfrac13 + \cdots + \dfrac1n$$.

×