The fine numbers refined

DOI10.1016/j.ejc.2009.04.003zbMath1184.05006OpenAlexW2024554368WikidataQ60692169 ScholiaQ60692169MaRDI QIDQ1041190

Sang-Gu Lee, Louis W. Shapiro, Gi-Sang Cheon

Publication date: 1 December 2009

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2009.04.003

zbMATH Keywords

Fine numbersCatalan numbers2-Motzkin pathsamicable path pairselevated 2-Motzkin pathsFine pathsgamma numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Asymptotic enumeration (05A16)

Related Items (3)

Some \(\gamma \)-positive polynomials arising from enumerations of the pseudo Schröder paths ⋮ Noncrossing linked partitions and large \((3,2)\)-Motzkin paths ⋮ A unified approach for the Catalan matrices by using Riordan arrays

Uses Software

• OEIS

Cites Work

• The Riordan group
• A bijection between ordered trees and 2-Motzkin paths and its many consequences
• Asymptotic Methods in Enumeration
• The Catalan Numbers, the Lebesgue Integral, and 4 n-2
• The enumeration of tree-like polyhexes
• A survey of the Fine numbers
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