Is there a real number $M >0$ such that
$$S_n \leq M, \forall n \geq 1$$ where
$$ S_n = \sum_{k=0}^{n-1}\binom{n}{k}^{-1}, n\geq 1.$$
Thank you in advance
Is the sequence of sum of $\binom{n}{k}^{-1}$ bounded?
1
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real-analysis
sequences-and-series
combinatorics
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0@ClementC. Thank you. – 2017-01-13
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0@A.MONNET The maximum seem to be for $n=3$ and $n=4$. – 2017-01-13