Lattice paths and \(n\)-colour compositions

DOI10.1016/J.DISC.2007.04.022zbMath1134.05005OpenAlexW2000830583MaRDI QIDQ2477399

Geetika Narang, A. K. Agarwal

Publication date: 13 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.disc.2007.04.022

zbMATH Keywords

compositionslattice paths\(n\)-colour compositionsbinomial identites

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Lattice points in specified regions (11P21) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (9)

Counting rises and levels in \(r\)-color compositions ⋮ A new class of lattice paths and partitions with \(n\) copies of \(n\) ⋮ Unnamed Item ⋮ Colored compositions, invert operator and elegant compositions with the ``black tie ⋮ \(n\)-color compositions and lattice paths of Agarwal-Bressoud ⋮ A statistic on \(n\)-color compositions and related sequences ⋮ \(n\)-color palindromic compositions with restricted subscripts ⋮ Combinatorics of \(n\)-color cyclic compositions ⋮ Combinatorics of certain restricted \(n\)-color composition functions

Cites Work

• \(n\)-colour self-inverse compositions
• Rogers-Ramanujan identities for partitions with n copies of n
• \(n\)-colour compositions
• Unnamed Item
• Unnamed Item

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