Séminaire Lotharingien de Combinatoire, B33g (1994), 9pp.

Fouad Ibn-Majdoub-Hassani

Generating Functions for Directed Animals Convex Following Their Direction

Abstract. We give a generating function for one source under-diagonal directed animals convex following their direction. This family of animals is a subset of the general directed animals introduced in theoretical physics as a model for the study of the directed percolation. The generating function parameters are the horizontal semi-perimeter, the vertical semi-perimeter, the area and the first column height of a family of polyominoes in bijection with those animals.

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