Timeline for Bounds on these numbers

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Nov 11, 2022 at 7:47 comment added mukhujje Thanks, I looked at a few articles by S. Finch (following the OEIS pointer of @PeterTaylor) on related objects but haven't found any good asymptotic bounds. These numbers seem to be related to various problems in Physics and Biology as well.
Nov 10, 2022 at 16:44 comment added Fedor Petrov It is a number of strict partitions of $k$ with parts not exceeding $n$, that is, the coefficient of $x^k$ in the polynomial $(1+x)(1+x^2)\cdots(1+x^n)$. A lot is known about asymptotics in various regimes.
Nov 10, 2022 at 15:21 comment added mukhujje Thanks for the pointer!
Nov 10, 2022 at 13:54 comment added Peter Taylor The first place to check would be the references of OEIS A053632.
Nov 10, 2022 at 13:20 history asked mukhujje CC BY-SA 4.0