Several identities in the Catalan triangle

DOI10.1007/s13226-010-0022-0zbMath1223.05009OpenAlexW2048038224MaRDI QIDQ1959036

Bijun Pang, Zhizheng Zhang

Publication date: 1 October 2010

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-010-0022-0

zbMATH Keywords

Catalan numberFibonacci matrixsumFibonacci numberCatalan triangle

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19)

Related Items (5)

Some new binomial sums related to the Catalan triangle ⋮ Minors of a class of Riordan arrays related to weighted partial Motzkin paths ⋮ Sums of powers of Catalan triangle numbers ⋮ Proofs of two conjectures on Catalan triangle numbers ⋮ Combinatorial identities related to \(2 \times 2\) submatrices of recursive matrices

Cites Work

• Unnamed Item
• The Lucas matrix and some combinatorial identities
• Catalan numbers, their generalization, and their uses
• A Catalan triangle
• Catalan-like numbers and determinants
• Catalan, Motzkin, and Riordan numbers
• A determinant property of Catalan numbers
• New identities in the Catalan triangle
• Bernoulli matrix and its algebraic properties
• A combinatorial identity with application to Catalan numbers
• The enumeration of tree-like polyhexes

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