  By using the Kang-Kashiwara-Misra-Miwa-Nakashima-Nakayashiki crystal base
character formula for the basic $A_2^{(1)}$-module, and the principally
specialized Weyl-Kac character formula, we obtain a Rogers-Ramanujan type
combinatorial identity for colored partitions. The difference conditions
between parts are given by the energy function of certain perfect
$A_2^{(1)}$-crystal. We also recall some other identities for this type of
colored partitions, but coming from the vertex operator constructions and with
no apparent connection to the crystal base theory.
