On avoiding 1233

Keywords: k-ary words, kernel method, avoiding 1233

Abstract

In this paper, we establish a recurrence relation for finding the generating function for the number of k-ary words of length n that avoid 1233 for arbitrary k. Comparable generating function formulas may also be found counting words where a single permutation pattern of length three is avoided in addition to 1233.

Published
2021-06-28
Section
Articles