Minors of a class of Riordan arrays related to weighted partial Motzkin paths

DOI10.1016/j.ejc.2014.01.004zbMath1284.05036arXiv1305.2015OpenAlexW2070883632MaRDI QIDQ2441956

Yidong Sun, Luping Ma

Publication date: 31 March 2014

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

Full work available at URL: https://arxiv.org/abs/1305.2015

zbMATH Keywords

Catalan numbers

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (2)

Some new binomial sums related to the Catalan triangle ⋮ Combinatorial identities related to \(2 \times 2\) submatrices of recursive matrices

Uses Software

• OEIS

Cites Work

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• Matrix identities on weighted partial Motzkin paths
• Some identities on the Catalan, Motzkin and Schröder numbers
• Moments on Catalan numbers
• Moments of combinatorial and Catalan numbers
• Factors of binomial sums from the Catalan triangle
• The method of creative telescoping
• The Riordan group
• A Catalan triangle
• Catalan-like numbers and determinants
• Riordan arrays and combinatorial sums
• Bijections and the Riordan group
• Several identities in the Catalan triangle
• New identities in the Catalan triangle
• A Combinatorial Interpretation of a Catalan Numbers Identity

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