Quadrant marked mesh patterns in 123-avoiding permutations

zbMath1401.05313arXiv1705.00164MaRDI QIDQ4560195

Dun Qiu, Jeffery B. Remmel

Publication date: 10 December 2018

Full work available at URL: https://arxiv.org/abs/1705.00164

zbMATH Keywords

Catalan numberDyck pathpermutation statisticsmarked mesh pattern

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Symmetric groups (20B30)

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The combinatorics of Jeff Remmel, Positional Marked Patterns in Permutations, Singleton mesh patterns in multidimensional permutations, Counting consecutive pattern matches in \(\mathcal{S}_n(132)\) and \(\mathcal{S}_n(123)\), Analytic combinatorics of lattice paths with forbidden patterns, the vectorial kernel method, and generating functions for pushdown automata