Jay Pantone

Assistant Professor
Marquette University


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

with David Bevan, Robert Brignall, and Andrew Elvey Price.

We establish a lower bound of 10.271 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.
NB: This is a conference version of a paper that is still in preparation.