Inverse Sum

Algebra

∑n=1∞(∑k=0nk)−1= ?\large\displaystyle\sum_{n=1}^{\infty} \left({\displaystyle\sum_{k=0}^nk} \right)^{-1} =\ ?

Give your answer to 3 decimal places.

See Also Inverse Sum Squared and Inverse Sum Cubed.

Ikkyu San by Ikkyu San
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