Proofs of two conjectures on Catalan triangle numbers

DOI10.1080/10236198.2018.1501041zbMath1397.05024arXiv1806.02685OpenAlexW2963449831WikidataQ113850421 ScholiaQ113850421MaRDI QIDQ4689893

Xiuguo Lian, Victor J. W. Guo

Publication date: 22 October 2018

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.02685

zbMATH Keywords

Catalan numberscyclotomic polynomialZeilberger's algorithmCatalan triangle\(q\)-Chu-Vandermonde summation

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65)

Uses Software

• SumTools

Cites Work

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• The power of a prime that divides a generalized binomial coefficient.
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• Catalan Numbers
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