A determinant for q-counting \(n\)-dimensional lattice paths

DOI10.1016/0012-365X(90)90182-HzbMath0716.05002OpenAlexW2030998356MaRDI QIDQ752716

Robert A. Sulanke

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0012-365x(90)90182-h

zbMATH Keywords

lattice pathsq-counting

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30)

Related Items

Oscillating tableaux and nonintersecting lattice paths ⋮ q-counting \(n\)-dimensional lattice paths ⋮ Enumeration of Lozenge tilings of hexagons with a central triangular hole ⋮ Binomial determinants, paths, and hook length formulae

Cites Work

• Enumeration of higher-dimensional paths under restrictions
• Binomial determinants, paths, and hook length formulae
• Linear recurrences under side conditions
• q-counting \(n\)-dimensional lattice paths
• Onq-Binomial Coefficients and Some Statistical Applications
• Rectangular arrays and plane partitions