Counting Prefixes of Skew Dyck Paths

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TitreCounting Prefixes of Skew Dyck Paths
Type de publicationJournal Article
Year of Publication2021
AuteursBaril J-L, Ramirez JL, Simbaqueba LM
JournalJOURNAL OF INTEGER SEQUENCES
Volume24
Pagination21.8.2
Type of ArticleArticle
ISSN1530-7638
Mots-clésgenerating function, Lagrange inversion, Riordan array, skew Dyck path
Résumé

We present enumerative results on prefixes of skew Dyck paths by giving recursive relations, Riordan arrays, and generating functions, as well as closed formulas to count the total number of these paths with respect to the length, the height of its endpoint and the number of left steps.