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Lattice paths and n-colour compositions

Discrete Mathematics (2008) 308(9) 1732-1740
DOI: 10.1016/j.disc.2007.04.022
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Abstract

Extending the 'walks' of van Lint and Wilson, we introduce a new kind of weighted lattice paths and show that the number of lattice paths with weight ν + m - 1 (0 ≤ m ≤ ν - 1) equals the number of n-colour compositions of ν. Two new binomial identities with their combinatorial meaning are also obtained. © 2007.

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Narang, G., & Agarwal, A. K. (2008). Lattice paths and n-colour compositions. Discrete Mathematics, 308(9), 1732–1740. https://doi.org/10.1016/j.disc.2007.04.022

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