Fertility Numbers of Consecutive $S_3$ Pattern-Avoiding Stack-Sorting maps
Jurgis Kemeklis · arXiv (Cornell University) · 2024
In this paper, we show that for all length 3 patterns, all positive integers are fertility numbers for the consecutive-pattern-avoiding stack-sorting map $\textrm{SC}_σ$, which resolves conjecture 8.3 from Defant and Zheng. The paper ends with a conjecture.