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Feb 24, 2021 at 1:00 comment added fedja Yeah, that much is obvious, but what is that $o(1)$? Can you figure out at least the second term in the asymptotic (assuming that $n=N^2+\gamma N$, say where $\gamma\in(0,2)$ is a known constant)? The exact solution is, probably, out of reach, of course.
Feb 21, 2021 at 1:15 vote accept Marcel K. Goh
Feb 21, 2021 at 1:14 history answered Dustin G. Mixon CC BY-SA 4.0