  In this paper we explore the large N limit of the glueball mass spectrum for
2+1 dimensional pure gauge theory. We employ Hamiltonian lattice gauge theory
(LGT) and analytic variational techniques to calculate glueball masses for
finite values of N < 26. The results are then accurately extrapolated to
infinite N. An empirical observation is discussed which links the infinite N
glueball spectrum to a simple oscillator model.
