%0 Journal Article
%T An identity for the central binomial coefficient
%A David Callan
%J Mathematics
%D 2012
%I arXiv
%X We find the joint distribution of three simple statistics on lattice paths of n upsteps and n downsteps leading to a triple sum identity for the central binomial coefficient {2n}-choose-{n}. We explain why one of the constituent double sums counts the irreducible pairs of compositions considered by Bender et al., and we evaluate some of the other sums.
%U http://arxiv.org/abs/1206.3174v1