Mathematics – Combinatorics
Scientific paper
2006-04-21
Mathematics
Combinatorics
Latex, 7 pages, 5 figures
Scientific paper
The identity j/n {kn}\choose{n+j} =(k-1) {kn-1}\choose{n+j-1}-
{kn-1}\choose{n+j} shows that j/n {kn}\choose{n+j} is always an integer. Here
we give a combinatorial interpretation of this integer in terms of lattice
paths, using a uniformly distributed statistic. In particular, the case j=1,k=2
gives yet another manifestation of the Catalan numbers.
No associations
LandOfFree
A Combinatorial Interpretation of j/n {kn}\choose{n+j} does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A Combinatorial Interpretation of j/n {kn}\choose{n+j}, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Combinatorial Interpretation of j/n {kn}\choose{n+j} will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-627241