Article ID Journal Published Year Pages File Type
4649929 Discrete Mathematics 2008 9 Pages PDF
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)ν+m-1(0⩽m⩽ν-1) equals the number of n  -colour compositions of νν. Two new binomial identities with their combinatorial meaning are also obtained.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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