Generalized Path Pairs and Fuss-Catalan Triangles

zbMath1470.05032arXiv2007.01892MaRDI QIDQ5000295

Paul Drube

Publication date: 12 July 2021

Full work available at URL: https://arxiv.org/abs/2007.01892

zbMATH Keywords

path pairsRiordan arraysFuss-Catalan numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Polyominoes (05B50)

Cites Work

• Combinatorics of Riordan arrays with identical \(A\) and \(Z\) sequences
• Staircase tilings and \(k\)-Catalan structures
• Sequence characterization of Riordan arrays
• Catalan numbers, their generalization, and their uses
• The Riordan group
• A Catalan triangle
• Pascal triangles, Catalan numbers and renewal arrays
• Catalan-like numbers and determinants
• Fuss-Catalan matrices, their weighted sums, and stabilizer subgroups of the Riordan group
• Enumeration via ballot numbers
• On Some Alternative Characterizations of Riordan Arrays
• Catalan Numbers
• A survey of the Fine numbers

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