The skew halves of a Riordan array

DOI10.1016/j.laa.2023.01.011OpenAlexW4317378135MaRDI QIDQ2689152

Sheng-Liang Yang, Lin Yang

Publication date: 9 March 2023

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2023.01.011

zbMATH Keywords

Lagrange inversion formulaRiordan arrayPascal matrixCatalan matrixcentral coefficients

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Theory of matrix inversion and generalized inverses (15A09) Permutations, words, matrices (05A05)

Related Items

On the halves of double and 3-dimensional Riordan arrays ⋮ The halves of Delannoy matrix and Chung-Feller properties of the \(m\)-Schröder paths ⋮ The halves of a 3-dimensional Riordan array

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Row sums and alternating sums of Riordan arrays
• Combinatorial sums through Riordan arrays
• Combinatorics of Riordan arrays with identical \(A\) and \(Z\) sequences
• Fuss-Catalan numbers in noncommutative probability
• Identities induced by Riordan arrays
• An identity of Andrews and a new method for the Riordan array proof of combinatorial identities
• Sequence characterization of Riordan arrays
• The Riordan group
• Half of a Riordan array and restricted lattice paths
• Horizontal and vertical formulas for exponential Riordan matrices and their applications
• A unified approach for the Catalan matrices by using Riordan arrays
• Half Riordan array sequences
• Some relatives of the Catalan sequence
• Analytic aspects of Delannoy numbers
• On the halves of a Riordan array and their antecedents
• Arithmetic into geometric progressions through Riordan arrays
• Fuss-Catalan matrices, their weighted sums, and stabilizer subgroups of the Riordan group
• Schröder matrix as inverse of Delannoy matrix
• On Some Alternative Characterizations of Riordan Arrays
• $(m,r)$-central Riordan arrays and their applications
• One-pth Riordan Arrays in the Construction of Identities