  We consider a two dimensional extension of the so-called linearizable
mappings. In particular, we start from the Heideman-Hogan recurrence, which is
known as one of the linearizable Somos-like recurrences, and introduce one of
its two dimensional extensions. The two dimensional lattice equation we present
is linearizable in both directions, and has the Laurent and the coprimeness
properties. Moreover, its reduction produces a generalized family of the
Heideman-Hogan recurrence. Higher order examples of two dimensional
linearizable lattice equations related to the Dana-Scott recurrence are also
discussed.
