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Evaluating $\sum_{k=1}^{a}\frac{-1-H_k}{k(1-e)^k}$
Question :
My attempt:
Let $a=17399172$
$$\begin{align}
&\sum_{k=1}^{a}\frac{-1-H_k}{\log_2\left(\sum_{j=0}^{k}\left(\ln\left(e^{C_j^k}\right)\right)\right)(1-e)^k} \\
&= \sum_{k=1}^{a}\frac{-...
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