On 0012-Avoiding Inversion Sequences and a Conjecture of Lin and Ma
| Autor: | Shane Chern |
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| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Quaestiones Mathematicae; Vol. 46 No. 4 (2023); 681-694 |
| ISSN: | 1607-3606 1727-933X |
| Popis: | 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 $n-1$. |
| Databáze: | OpenAIRE |
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