An interesting article on probability and collectibles Posted by Aditya_Ramesh on Wednesday March 13, 2019 @11:48PM from the blogarithms.github.io dept. https://blogarithms.github.io/articles/2019-01/a-collectors-nightmare ( 1 comment | on HN )
> and `(1/1 + 1/2 + 1/3 + 1/4 + ... + 1/(N-1) + 1/N)` converges to ln(N) as N grows, so the total number of purchases will be O(N * ln(N))
A logarithm is much easier to think about than the un-shrunk harmonic series.