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Experimental Mathematics Seminar

On Stanley-Wilf limit of the pattern 1324

Toufik Mansour, University of Haifa

Location:  Zoom
Date & time: Thursday, 22 April 2021 at 5:00PM - 6:00PM

Abstract: We present an explicit formula for the generating function for the number of permutations of length \(n\) that avoid 1324 in terms of generating functions for permutations that have a kernel shape of length m, m ?2. This allows us to write down a systematic procedure for finding a lower bound for approximating the Stanley-Wilf limit of the pattern 1324.

Joint work with Christian Nassau

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