Identities from weighted Motzkin paths
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Publication:950409
DOI10.1016/j.aam.2004.11.007zbMath1148.05007OpenAlexW2152508360MaRDI QIDQ950409
Sherry H. F. Yan, Laura L. M. Yang, William Y. C. Chen
Publication date: 22 October 2008
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aam.2004.11.007
Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19)
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Cites Work
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- Old and young leaves on plane trees
- Combinatorial aspects of continued fractions
- On the structure of the lattice of noncrossing partitions
- Some \(q\)-analogues of the Schröder numbers arising from combinatorial statistics on lattice paths
- A symmetric variation of a distribution of Kreweras and Poupard
- Two combinatorial statistics on Dyck paths
- Algebraic languages and polyominoes enumeration
- A bijection on Dyck paths and its consequences
- Catalan path statistics having the Narayana distribution
- Enumerating a class of lattice paths
- Counting lattice paths by Narayana polynomials
- Reduction of \(m\)-regular noncrossing partitions
- A bijection between ordered trees and 2-Motzkin paths and its many consequences
- Generalizing Narayana and Schröder numbers to higher dimensions
- Deux propriétés combinatoires des nombres de Schröder
- A Noncommutative Generalization and q-Analog of the Lagrange Inversion Formula
- Six etudes in generating functions