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Dec 20, 2021 at 5:49 comment added Joshua Stucky Often it is precisely such data that leads to these conjectures. Rigorously proving such claims is considerably more difficult.
Dec 20, 2021 at 2:28 comment added John Nicholson @YaakovBaruch Thanks for the comment. I will say that with the spreadsheet data, the growth of $G_n << n^2$.
Dec 19, 2021 at 20:46 comment added Yaakov Baruch The divergence of the first sum would imply that $G_n$ is $o(n^2)$. The OEIS link mentions that even the weaker $O(n^2)$ is only a conjecture.
Dec 19, 2021 at 19:02 history asked John Nicholson CC BY-SA 4.0