  Some of the classical orthogonal polynomials such as Hermite, Laguerre,
Charlier, etc. have been shown to be the generating polynomials for certain
combinatorial objects. These combinatorial interpretations are used to prove
new identities and generating functions involving these polynomials. In this
paper we apply Foata's combinatorial interpretation of the Hermite polynomials
as counting matchings of a set to obtain a triple lacunary generating function
for the Hermite polynomials. We also give an umbral proof of this generating
function.
