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The enumeration of inversion sequences avoiding the patterns 201 and 210

2023/10/30 by Jay Pantone, Pantone, Jay · 2 citations
Mathematics · Computer Science · #Advanced Combinatorial Mathematics #semigroups and automata theory #Algorithms and Data Compression

paper · pdf · doi:10.48550/arxiv.2310.19632

Abstract

We derive the algebraic generating function for inversion sequences avoiding the patterns 201 and 210 by describing a set of succession rules, converting them to a system of generating function equations with one catalytic variable, and then solving the system with kernel method techniques.

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