Nondecreasing Dyck paths and \(q\)-Fibonacci numbers
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Publication:1363665
DOI10.1016/S0012-365X(97)82778-1zbMath0886.05012MaRDI QIDQ1363665
Renzo Pinzani, Elena Barcucci, S. Fezzi, Alberto del Lungo
Publication date: 4 May 1998
Published in: Discrete Mathematics (Search for Journal in Brave)
Exact enumeration problems, generating functions (05A15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)
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A bijection between directed column-convex polyominoes and ordered trees of height at most three ⋮ Bijections from Dyck and Motzkin meanders with catastrophes to pattern avoiding Dyck paths ⋮ A refinement of Dyck paths: A combinatorial approach ⋮ Enumerations of peaks and valleys on non-decreasing Dyck paths ⋮ Combinatorics on lattice paths in strips ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Coxeter's frieze patterns arising from Dyck paths ⋮ Dyck path categories and its relationships with cluster algebras ⋮ Unnamed Item ⋮ Knight's paths towards Catalan numbers ⋮ Some enumerations on non-decreasing Dyck paths ⋮ Dyck paths with a first return decomposition constrained by height ⋮ Enumerating symmetric and asymmetric peaks in Dyck paths ⋮ Ascent sequences avoiding pairs of patterns ⋮ Symmetric peaks and symmetric valleys in Dyck paths ⋮ Enumerations of rational non-decreasing Dyck paths with integer slope ⋮ Pattern distributions in Dyck paths with a first return decomposition constrained by height ⋮ Enumerating several aspects of non-decreasing Dyck paths ⋮ Random generation of trees and other combinatorial objects ⋮ Unnamed Item ⋮ Directed animals, forests and permutations ⋮ Enumerating symmetric peaks in non-decreasing Dyck paths ⋮ Weighted Dyck paths with special restrictions on the levels of valleys
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