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Jul 23, 2019 at 15:35 comment added Nathan Reading I haven't thought this through to the end, but perhaps there is an argument based on writing the Poincare polynomials in terms of the degrees. It is certainly easy to write a recursion giving the actual polynomials. From there, maybe one can see how largest coefficients behave under the recursion. Have you tried that? UPDATE: Based on the OEIS sequence you reference, I'm now guessing you've already thought about this.
Jul 23, 2019 at 6:43 comment added Martin Rubey This is now findstat.org/St001443.
Jul 23, 2019 at 4:44 history edited Mikhail Gaichenkov CC BY-SA 4.0
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Jul 22, 2019 at 20:06 history edited Mikhail Gaichenkov
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Jul 22, 2019 at 20:00 history edited Mikhail Gaichenkov CC BY-SA 4.0
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Jul 22, 2019 at 19:55 history asked Mikhail Gaichenkov CC BY-SA 4.0