On the halves of double and 3-dimensional Riordan arrays

DOI10.1016/j.laa.2023.09.009zbMath1526.05013OpenAlexW4386789957MaRDI QIDQ6084881

Yidong Sun, Cheng Sun

Publication date: 6 November 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.2023.09.009

zbMATH Keywords

multi-dimensional Riordan arraydouble Riordan array\(j\)-th order Riordan array

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05) Other combinatorial number theory (11B75) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• The double Riordan group
• Combinatorics of Riordan arrays with identical \(A\) and \(Z\) sequences
• The group of multi-dimensional Riordan arrays
• Generalized Riordan arrays
• The Riordan group
• Riordan arrays and combinatorial sums
• Left-inversion of combinatorial sums
• Half of a Riordan array and restricted lattice paths
• Sequence characterizations of double Riordan arrays and their compressions
• Some summation rules related to the Riordan arrays
• Half Riordan array sequences
• Sequence characterization of 3-dimensional Riordan arrays and some application
• On the halves of a Riordan array and their antecedents
• Schröder matrix as inverse of Delannoy matrix
• The skew halves of a Riordan array
• $(m,r)$-central Riordan arrays and their applications
• One-pth Riordan Arrays in the Construction of Identities
• Catalan Numbers
• Compositions and Fibonacci Identities
• The Method of Coefficients
• Lagrange inversion
• The halves of a 3-dimensional Riordan array

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