Avoidance of classical patterns by Catalan sequences

DOI10.2298/FIL1703543MzbMath1488.05011OpenAlexW1646474081MaRDI QIDQ5005849

Mark Shattuck, Toufik Mansour

Publication date: 11 August 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1703543m

zbMATH Keywords

generating functionFibonacci numberspattern avoidanceCatalan sequence

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Recurrences (11B37)

Uses Software

• OEIS

Cites Work

• Patterns in permutations and words.
• Restricted permutations, continued fractions, and Chebyshev polynomials
• On a new collection of words in the Catalan family
• Chebyshev polynomials and statistics on a new collection of words in the Catalan family
• Combinatorics of Compositions and Words
• Restricted 132-avoiding permutations
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