Combinatorial matrices derived from generalized Motzkin paths
From MaRDI portal
Publication:2243093
DOI10.1007/s13226-021-00096-7zbMath1478.05016OpenAlexW3168679112MaRDI QIDQ2243093
Publication date: 10 November 2021
Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13226-021-00096-7
generating functionCatalan numbersMotzkin numbersSchröder numbersRiordan arraygeneralized Motzkin path
Exact enumeration problems, generating functions (05A15) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Permutations, words, matrices (05A05) Matrices of integers (15B36)
Uses Software
Cites Work
- Combinatorics of Riordan arrays with identical \(A\) and \(Z\) sequences
- Counting lattice paths with four types of steps
- Identities induced by Riordan arrays
- Skew Dyck paths
- The relevant prefixes of coloured Motzkin walks: an average case analysis
- Sequence characterization of Riordan arrays
- The Riordan group
- A Catalan triangle
- Underdiagonal lattice paths with unrestricted steps
- Riordan arrays and combinatorial sums
- Half of a Riordan array and restricted lattice paths
- A divisibility property for a subgroup of Riordan matrices
- A generalization of the \(k\)-bonacci sequence from Riordan arrays
- Enumeration via ballot numbers
- Schröder matrix as inverse of Delannoy matrix
- Three Hoppy path problems and ternary paths
- On Some Alternative Characterizations of Riordan Arrays
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item