A positional statistic for 1324-avoiding permutations

Juan B. Gil, Oscar A. Lopez, Michael D. Weiner

We consider the class $S_n(1324)$ of permutations of size $n$ that avoid the pattern 1324 and examine the subset $S_n^{a\prec n}(1324)$ of elements for which $a\prec n\prec [a-1]$,…