Geodesic
Generating Functions for Directed Animals Convex Following Their Direction
Séminaire lotharingien de combinatoire, Tome 33 (1994)

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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. 

@article{SLC_1994_33_a6,
     author = {Fouad Ibn-Majdoub-Hassani},
     title = {Generating {Functions} for {Directed} {Animals} {Convex} {Following} {Their} {Direction}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {33},
     year = {1994},
     url = {http://geodesic.mathdoc.fr/item/SLC_1994_33_a6/}
}
TY  - JOUR
AU  - Fouad Ibn-Majdoub-Hassani
TI  - Generating Functions for Directed Animals Convex Following Their Direction
JO  - Séminaire lotharingien de combinatoire
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VL  - 33
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_1994_33_a6/
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%0 Journal Article
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%J Séminaire lotharingien de combinatoire
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%I mathdoc
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%F SLC_1994_33_a6
Fouad Ibn-Majdoub-Hassani. Generating Functions for Directed Animals Convex Following Their Direction. Séminaire lotharingien de combinatoire, Tome 33 (1994). http://geodesic.mathdoc.fr/item/SLC_1994_33_a6/