q-counting \(n\)-dimensional lattice paths

DOI10.1016/0097-3165(82)90002-4zbMath0492.05005OpenAlexW2084963073MaRDI QIDQ1167728

Robert A. Sulanke

Publication date: 1982

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(82)90002-4

zbMATH Keywords

generating functionsGaussian multinomial coefficientq-Vandermonde convolution

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15)

Related Items (2)

On the lattice path method in convolution-type combinatorial identities. II: The weighted counting function method on lattice paths ⋮ A determinant for q-counting \(n\)-dimensional lattice paths

Cites Work

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• A determinant for q-counting \(n\)-dimensional lattice paths
• Enumeration of higher-dimensional paths under restrictions
• A generalized q-multinomial Vandermonde convolution
• Bender's generalized q-binomial Vandermonde convolution
• A generalized q-binomial Vandermonde convolution
• The (qr)-Simon Newcomb problem
• Rectangular arrays and plane partitions

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