A new combinatorial interpretation for generalized Catalan number

DOI10.1016/0012-365X(87)90214-7zbMath0628.05001MaRDI QIDQ1092906

Chu, Wenchang

Publication date: 1987

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

zbMATH Keywords

configurationsgeneralized Catalan numbers

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10)

Related Items (8)

Multifold inverse series relations and multivariate derivative identities ⋮ Multinomial convolution polynomials ⋮ \(p^{q}\)-Catalan numbers and squarefree binomial coefficients ⋮ Some combinatorial interpretations and applications of Fuss-Catalan numbers ⋮ Asymptotics for generating functions of the Fuss-Catalan numbers ⋮ Trigonometric expressions for infinite series involving binomial coefficients ⋮ Identities of Rothe-Abel-Schläfli-Hurwitz-type ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Enumerations of ordered trees
• One-dimensional random walk with unequal step lengths restricted by an absorbing barrier
• On the enumeration of certain sets of planted plane trees
• Pascal triangles, Catalan numbers and renewal arrays
• On generalised Catalan numbers
• On Picture-Writing
• Functional Composition Patterns and Power Series Reversion
• Correspondences between plane trees and binary sequences
• Relations between hypersurface cross ratios, and a combinatorial formula for partitions of a polygon, for permanent preponderance, and for non-associative products
• On Fluctuations in Coin-Tossing
• Motzkin numbers

This page was built for publication: A new combinatorial interpretation for generalized Catalan number