A Combinatorial Interpretation of The Numbers $6(2n)! /n! (n+2)!$

Details A Combinatorial Interpretation of The Numbers $6(2n)! /n! (n+2)!$ A Combinatorial Interpretation of The Numbers $6(2n)! /n! (n+2)!$

2004-01-22

arxiv.org/abs/math/0401300v2

Mathematics

Combinatorics

11 pages, 2 figures

Scientific paper

It is well known that the numbers $(2m)! (2n)!/m! n! (m+n)!$ are integers,
but in general there is no known combinatorial interpretation for them. When
$m=0$ these numbers are the middle binomial coefficients $\binom{2n}{n}$, and
when $m=1$ they are twice the Catalan numbers. In this paper, we give
combinatorial interpretations for these numbers when $m=2$ or 3.

Affiliated with

Also associated with

No associations

Rating

A Combinatorial Interpretation of The Numbers $6(2n)! /n! (n+2)!$ 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 The Numbers $6(2n)! /n! (n+2)!$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Combinatorial Interpretation of The Numbers $6(2n)! /n! (n+2)!$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-385203