  This paper establishes a combinatorial link between different approaches to
constructing Whittaker functions on a metaplectic group over a non-archimedean
local field. We prove a metaplectic analogue of Tokuyama's Theorem and give a
crystal description of polynomials related to Iwahori-Whittaker functions. The
proof relies on formulas of metaplectic Demazure and Demazure-Lusztig
operators, proved previously in joint work with Gautam Chinta and Paul E.
Gunnells.
