What are the properties of these two functions?
OK, so I was kinda doodling stuff in my free time and I came up with these
two functions:
$$C_1(n) = \sum^{\infty}_{k = n} {{k \choose n}^{-1}}$$ $$C_2(n) =
\sum^{n}_{k = 0} {{n \choose k}^{-1}}$$
I don't have Mathematica or anything ATM (just formatted the PC LOL), so I
can't analyse these functions as such. Would anyone kinda help me out with
the properties of these functions (convergence etc.)?
Please feel free to downvote this if this is offtopic.
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