Taylor expansions for the generating function of Catalan-like numbers

DOI10.1080/23311835.2016.1200305zbMath1438.05004OpenAlexW2418411990MaRDI QIDQ4966783

Lily Li Liu, Xiao-Li Li

Publication date: 27 June 2019

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23311835.2016.1200305

zbMATH Keywords

Taylor expansionCatalan numbersMotzkin numbersSchröder numbersCatalan-like numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial inequalities (05A20) Miscellaneous inequalities involving matrices (15A45) Special sequences and polynomials (11B83)

Cites Work

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• Combinatorics of Riordan arrays with identical \(A\) and \(Z\) sequences
• Three identities of the Catalan-Qi numbers
• Sequence characterization of Riordan arrays
• The Riordan group
• Catalan-like numbers and determinants
• Permutations, parenthesis words, and Schröder numbers
• Taylor expansions for Catalan and Motzkin numbers
• Parametric Catalan numbers and Catalan triangles
• Hipparchus, Plutarch, Schroder, and Hough
• Motzkin numbers
• Motzkin numbers
• Bijective recurrences for Motzkin paths

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