Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4649929 | Discrete Mathematics | 2008 | 9 Pages |
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
Authors
Geetika Narang, A.K. Agarwal,