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On 0012-avoiding inversion sequences and a Conjecture of Lin and Ma (2006.04318v1)
Published 8 Jun 2020 in math.CO
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 pattern $0012$. We will not only confirm this conjecture but also give a formula that enumerates the number of $0012$-avoiding inversion sequences in which the last entry equals $n-1$.
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