ON THE DIVISIBILITY OF SUMS OF q-SUPER CATALAN NUMBERS

DOI10.1017/s0004972723000400OpenAlexW4376616473MaRDI QIDQ6124020

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Publication date: 9 April 2024

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972723000400

zbMATH Keywords

Catalan numbercyclotomic polynomial\(q\)-super Catalan number

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07)

Cites Work

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• \(q\)-analogs of some congruences involving Catalan numbers
• A \(q\)-rious positivity
• On a congruence involving \(q\)-Catalan numbers
• Super ballot numbers
• Congruences on sums of super Catalan numbers
• ON SOME NEW CONGRUENCES FOR BINOMIAL COEFFICIENTS
• Elementary proof of congruences involving sum of binomial coefficients
• Factors of alternating sums of products of binomial and q-binomial coefficients
• A weighted interpretation for the super Catalan numbers
• Topological characteristics of random triangulated surfaces

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