Divisibility of generalized Catalan numbers

DOI10.1016/j.jcta.2006.11.003zbMath1206.11025OpenAlexW2039146961MaRDI QIDQ2642023

Matjaž Konvalinka

Publication date: 20 August 2007

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2006.11.003

zbMATH Keywords

orbitsprime power divisorsweighted Catalan numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Binomial coefficients; factorials; (q)-identities (11B65) Special sequences and polynomials (11B83)

Related Items (7)

Unnamed Item ⋮ Some combinatorial interpretations and applications of Fuss-Catalan numbers ⋮ A Lucas-type congruence for \(q\)-Delannoy numbers ⋮ A combinatorial approach to the power of 2 in the number of involutions ⋮ A Stern-type congruence for the Schröder numbers ⋮ Arithmetic of weighted Catalan numbers ⋮ A \(q\)-analogue of Wilson's congruence

Cites Work

• On the structure of the lattice of noncrossing partitions
• An involution on Dyck paths and its consequences
• Prime and prime power divisibility of Catalan numbers
• What power of two divides a weighted Catalan number?
• Congruences for Catalan and Motzkin numbers and related sequences
• Unnamed Item
• Unnamed Item

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