Combinatorial identities related to \(2 \times 2\) submatrices of recursive matrices

DOI10.1016/j.disc.2019.111734zbMath1431.05019arXiv1808.05736OpenAlexW2994350944MaRDI QIDQ2286595

Yanyan Li

Publication date: 22 January 2020

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.05736

zbMATH Keywords

recursive matricesRiordan arrayresidueNarayana polynomialsNarayana polynomiallittle Schröder number

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20)

Uses Software

• HolonomicFunctions
• OEIS

Cites Work

• Some new binomial sums related to the Catalan triangle
• Combinatorics of Riordan arrays with identical \(A\) and \(Z\) sequences
• On total positivity of Catalan-Stieltjes matrices
• 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
• Combinatorial aspects of continued fractions
• The Riordan group
• A Catalan triangle
• Dyck path enumeration
• Riordan arrays and combinatorial sums
• Bijections and the Riordan group
• Several identities in the Catalan triangle
• Total positivity of Riordan arrays
• Total positivity of recursive matrices
• Polynomials with palindromic and unimodal coefficients
• Minors of a class of Riordan arrays related to weighted partial Motzkin paths
• New identities in the Catalan triangle
• A Combinatorial Interpretation of a Catalan Numbers Identity
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