Equivalence of the descents statistic on some (4,4)-avoidance classes of permutations

DOI10.1080/10236198.2022.2062234zbMath1492.05008arXiv2105.08242OpenAlexW3161468298MaRDI QIDQ5085251

Mark Shattuck, Toufik Mansour

Publication date: 27 June 2022

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.08242

zbMATH Keywords

kernel methodpattern avoidancecombinatorial statisticdescent statistic

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Numerical aspects of recurrence relations (65Q30) Numerical methods for functional equations (65Q20)

Uses Software

• OEIS

Cites Work

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• Permutations with forbidden subsequences and a generalized Schröder number
• A proof of Lin's conjecture on inversion sequences avoiding patterns of relation triples
• Bijections for inversion sequences, ascent sequences and 3-nonnesting set partitions
• Patterns of relation triples in inversion and ascent sequences
• Vincular patterns in inversion sequences
• Kernel method and linear recurrence system
• Patterns in Inversion Sequences I
• Pattern avoidance in inversion sequences
• Inversion sequences avoiding pairs of patterns
• Patterns in Inversion Sequences II: Inversion Sequences Avoiding Triples of Relations
• Generalized Schröder matrix and its combinatorial interpretation
• Refined restricted inversion sequences
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