Equivalence Classes of Motzkin Paths Modulo a Pattern of Length at Most Two

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TitreEquivalence Classes of Motzkin Paths Modulo a Pattern of Length at Most Two
Type de publicationJournal Article
Year of Publication2015
AuteursBaril J-L, Petrossian A
JournalJOURNAL OF INTEGER SEQUENCES
Volume18
Pagination15.7.1
Type of ArticleArticle
ISSN1530-7638
Mots-clésEquivalence relation, Motzkin path, statistics
Résumé

For any pattern a of length at most two, we enumerate equivalence classes of Motzkin paths where two paths of the same length are equivalent whenever they coincide on all occurrences of the pattern alpha.