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Asymptotic behavior of functions, asymptotic series and related topics

28 votes
3 answers
1k views

For a round-robin tournament, what is the favorite's least favorite size?

Suppose we have a round-robin tournament (i.e., each player plays exactly one game with each other player) with $n$ players, who are all equally skillful except for one player, the favorite, whose pro …
Timothy Chow's user avatar
  • 82.6k
13 votes
5 answers
1k views

Asymptotics of a Bernoulli-number-like function

Tony Lezard asked me the following question which seemed like it should not be too hard but which I did not immediately see how to answer. Define $f(n,k)$ recursively by $f(1,k) = 1$ and $$f(n,k) = \ …
Timothy Chow's user avatar
  • 82.6k