Mathematics – Combinatorics
Scientific paper
2012-04-26
Mathematics
Combinatorics
Scientific paper
Shapiro proved an elegant convolution formula involving Catalan numbers of
even index. This paper gives a simple combinatorial proof of his formula. In
addition, we show that it is equivalent with the alternating convolution
formula of central binomial coefficients.
No associations
LandOfFree
A simple combinatorial proof of Shapiro's Catalan convolution 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 simple combinatorial proof of Shapiro's Catalan convolution, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A simple combinatorial proof of Shapiro's Catalan convolution will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-314447