A convex polyomino containing at least one edge of its minimal bounding rectangle. The perimeter and area generating function for directed polygons of width m, height n, and area q is given by G(x, y, q) | = | sum_(x>=1) sum_(y>=1) sum_(q>=1) C(m, n, a) x^m y^n q^a | = | y(R(x) - N^^(x))/(N(x)), where

convex polyomino | lattice polygon