A note on lattice chains and Delannoy numbers

DOI10.1016/j.disc.2007.05.017zbMath1257.05005OpenAlexW1989116252MaRDI QIDQ2427526

Clifford R. Haithcock, J. J. P. Veerman, John S. IV. Caughman

Publication date: 13 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.disc.2007.05.017

zbMATH Keywords

latticeDelannoy numbersnumber of chains in lattices of integer pointstotal number of chains

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15)

Related Items

NEW CONGRUENCES FOR SUMS INVOLVING APÉRY NUMBERS OR CENTRAL DELANNOY NUMBERS ⋮ Some congruences on Delannoy numbers and Schröder numbers ⋮ A new recursive formula arising from a determinantal expression for weighted Delannoy numbers ⋮ A new orthogonal polynomial associated with a generalization of Delannoy numbers ⋮ Lattice aggregations of boxes and symmetric functions ⋮ On Delannoy numbers and Schröder numbers ⋮ On sums of Apéry polynomials and related congruences ⋮ Congruences involving generalized central trinomial coefficients ⋮ Counting lattice chains and Delannoy paths in higher dimensions ⋮ The number of fuzzy subgroups of finite cyclic groups and Delannoy numbers. ⋮ Some congruences involving powers of Legendre polynomials

Cites Work

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• Higher dimensional restricted lattice paths with diagonal steps
• Counting lattice paths by Narayana polynomials
• S-arrangements with repetitions
• The lattice of Delannoy paths
• Why Delannoy numbers?
• Chains in Power Sets
• On Generalized Delannoy Paths
• Note on a “Square” Functional Equation

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