\(q,p\)-Catalan numbers

DOI10.1016/S0012-365X(97)81827-4zbMath0892.05002OpenAlexW1976751714MaRDI QIDQ1377841

Arthur Randrianarivony

Publication date: 19 July 1998

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

Full work available at URL: https://doi.org/10.1016/s0012-365x(97)81827-4

zbMATH Keywords

permutationscontinued fractionsDyck pathsGenocchi permutations\(q,p\)-Catalan numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30)

Related Items

Crossings over permutations avoiding some pairs of patterns of length three, Crossings and nestings over some Motzkin objects and \(q\)-Motzkin numbers, Restricted permutations refined by number of crossings and nestings

Cites Work

• Unnamed Item
• q-Catalan numbers
• The Euler-Catalan identity
• Combinatorial aspects of continued fractions
• Permutations selon leurs pics, creux, doubles montees et double descentes, nombres d'Euler et nombres de Genocchi
• Denert's Permutation Statistic Is Indeed Euler‐Mahonian
• Continued fractions, \(q\)-Catalan numbers, and \(q\)-Genocchi polynomials