The height of two types of generalised Motzkin paths

DOI10.1016/j.jspi.2013.07.011zbMath1408.05006OpenAlexW1998686225MaRDI QIDQ393631

Charlotte Brennan, Arnold Knopfmacher

Publication date: 23 January 2014

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2013.07.011

zbMATH Keywords

generating functionsMotzkin pathscolouredgeneralised

Mathematics Subject Classification ID

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

Related Items

Dyck paths with a first return decomposition constrained by height ⋮ Unnamed Item

Cites Work

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• A bijective approach to the area of generalized Motzkin paths
• Bell polynomials and \(k\)-generalized Dyck paths
• The maximal height of simple random walks revisited
• Counting peaks and valleys in \(k\)-colored Motzkin paths
• Non-uniform random generation of generalized Motzkin paths
• Motzkin numbers of higher rank: Generating function and explicit expression