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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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