E. Barcucci et al., A GENERATING FUNCTION FOR DCC POLYOMINOES HEIGHT, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(3), 1995, pp. 259-264
We use Temperley' methodology in order to find a functional equation w
hose solution is the directed column-convex polyominoes' generating fu
nction. From this equation we deduce the average height of directed co
lumn-convex polyominoes having a fired area. Furthermore, we enumerate
these polyominoes according to their height.