Staircases, dominoes, and the growth rate of 1324-avoiders

David Bevan, Robert Brignall, Andrew Elvey Price, Jay Pantone

Research output: Contribution to journalConference Contributionpeer-review

6 Citations (Scopus)
14 Downloads (Pure)


We establish a lower bound of 10.24 for the growth rate of the permutations avoiding 1324, and an upper bound of 13.5. This is done by first finding the precise growth rate of a subclass whose enumeration is related to West-2-stack-sortable permutations, and then combining copies of this subclass in particular ways.
Original languageEnglish
Pages (from-to)123–129
Number of pages7
JournalElectronic Notes in Discrete Mathematics
Early online date3 Aug 2017
Publication statusPublished - 31 Aug 2017
EventEuropean Conference on Combinatorics, Graph Theory and Applications - Freihaus, Vienna, Austria
Duration: 28 Aug 20171 Sept 2017


  • permutation classes
  • growth rates
  • 1324-avoiders


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