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Oct 4, 2021 at 22:31 comment added R.. GitHub STOP HELPING ICE And thanks again. While the expression was unwieldy to do some of the things I wanted, it made it easy to look at numerical behavior without resorting to running simulations, and to make predictions that accurately predicted that what I wanted to try would work. (In particular, that prefix trees on 8-bit alphabet are a bad idea but that dropping to a 4-bit alphabet makes a huge difference.)
Oct 4, 2021 at 14:25 history edited Henry CC BY-SA 4.0
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Oct 4, 2021 at 13:47 comment added R.. GitHub STOP HELPING ICE Thanks! The expected number of days with exactly one person (the second bullet point) is actually interesting for my purposes, and has a critical point (for $m$) between $n-1$ and $n$, which is somewhat surprising (IOW you go from expecting more unique birthdays to fewer exactly when number of people crosses the number of days).
Oct 4, 2021 at 13:43 vote accept R.. GitHub STOP HELPING ICE
Oct 4, 2021 at 13:28 history answered Henry CC BY-SA 4.0