Constraint-sensitive Catalan path statistics having the Narayana distribution

DOI10.1016/S0012-365X(98)00382-3zbMath0936.05004MaRDI QIDQ1300988

Robert A. Sulanke

Publication date: 18 May 2000

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

generating functionCatalan pathsmatrix encoding schemeNarayana distribution

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15)

Related Items

Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions, Some statistics on Dyck paths, The Narayana distribution, Schur positivity and the \(q\)-log-convexity of the Narayana polynomials, Combinatorics of generalized Tchebycheff polynomials., An identity involving Narayana numbers, A bijection on ordered trees and its consequences, A history and a survey of lattice path enumeration, An asymptotic distribution theory for Eulerian recurrences with applications, Riordan arrays, generalized Narayana triangles, and series reversion, \(q\)-Narayana numbers and the flag \(h\)-vector of \(J(\text \textbf{2}\times {\mathbf n})\), An involution on Dyck paths and its consequences, Dyck path enumeration

Cites Work

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• Six etudes in generating functions