Fibonacci and Catalan paths in a wall

DOI10.1016/j.disc.2024.114268MaRDI QIDQ6646395

Jean-Luc Baril, José L. Ramírez

Publication date: 2 December 2024

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

zbMATH Keywords

generating functionkernel methodDyck pathFibonacci numbersCatalan numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Asymptotic enumeration (05A16) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• Equivalence classes of Dyck paths modulo some statistics
• Lagrange inversion: when and how
• A history and a survey of lattice path enumeration
• Staircase tilings and \(k\)-Catalan structures
• Dyck path enumeration
• Some statistics on Dyck paths
• Generating functions for generating trees
• Nondecreasing Dyck paths and \(q\)-Fibonacci numbers
• Basic analytic combinatorics of directed lattice paths
• Lattice paths with catastrophes
• The kernel method: a collection of examples
• On asymptotic behavior of the Taylor coefficients of algebraic functions
• On the functions counting walks with small steps in the quarter plane
• Enumerating symmetric and asymmetric peaks in Dyck paths
• Exhaustive generation of some lattice paths and their prefixes
• On the generating functions of pattern-avoiding Motzkin paths
• Partial skew Dyck paths: a kernel method approach
• Generating functions for lattice paths with several forbidden patterns
• Counting strings in Dyck paths
• Walks in the Quarter Plane with Multiple Steps
• Walks with small steps in the quarter plane
• The Editor's Corner: n Coins in a Fountain

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