Research Article

On 0012-avoiding inversion sequences and a conjecture of Lin and Ma

Published in: Quaestiones Mathematicae
Volume 46 , issue 4 , 2023 , pages: 681–694

DOI: 10.2989/16073606.2022.2039973

Author(s): Shane Chern Dalhousie University, Canada

Keywords: Primary: 05A05 , Secondary: 05A15 , Inversion sequence , pattern avoidance , generating function , kernel method

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Abstract

The study of pattern avoidance in inversion sequences recently attracts extensive research interests. In particular, Zhicong Lin and Jun Ma conjectured a formula that counts the number of inversion sequences avoiding the length-four pattern 0012. Our object of the paper is to confirm this conjecture.

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