%0 Journal Article %T A probabilistic interpretation of a sequence related to Narayana polynomials %A Tewodros Amdeberhan %A Victor Hugo Moll %A Christophe Vignat %J Online Journal of Analytic Combinatorics %D 2013 %I University of Auckland %X A sequence of coefficients appearing in a recurrence for the Narayana polynomials is generalized. The coefficients are given a probabilistic interpretation in terms of beta distributed random variables. The recurrence established by M. Lasalle is then obtained from a classical convolution identity. Some arithmetical properties of the generalized coefficients are also established. %U http://analytic-combinatorics.org/index.php/ojac/article/view/68