The number of minimal lattice paths restricted by two parallel lines

DOI10.1016/0012-365X(83)90162-0zbMath0518.05007MaRDI QIDQ1053692

Thien Tran Cong, Masako Sato

Publication date: 1983

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

zbMATH Keywords

generating functionsBallot numbersminimal lattice pathshigher Catalan numbernon-decreasing paths

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15)

Related Items (3)

A note on counting homomorphisms of paths ⋮ Note on the number of minimal lattice paths restricted by two parallel lines ⋮ Geometrical illustration of numerical semigroups and of some of their invariants.

Cites Work

• Unnamed Item
• One-dimensional random walk with unequal step lengths restricted by an absorbing barrier
• The combinatorics of random walk with absorbing barriers
• Pascal triangles, Catalan numbers and renewal arrays
• On generalised Catalan numbers
• Some Generalizations of Vandermonde's Convolution
• A modified random walk in the presence of partially reflecting barriers
• Correspondences between plane trees and binary sequences

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