Geodesic
Enumeration of inscribed polyominos
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010) (2010).

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We introduce a new family of polyominos that are inscribed in a rectangle of given size for which we establish a number of exact formulas and generating functions. In particular, we study polyominos inscribed in a rectangle with minimum area and minimum area plus one. These results are then used for the enumeration of lattice trees inscribed in a rectangle with minimum area plus one. 
@article{DMTCS_2010_special_259_a3,
     author = {Goupil, Alain and Cloutier, Hugo and Nouboud, Fathallah},
     title = {Enumeration of inscribed polyominos},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010)},
     year = {2010},
     doi = {10.46298/dmtcs.2808},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2808/}
}
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Goupil, Alain; Cloutier, Hugo; Nouboud, Fathallah. Enumeration of inscribed polyominos. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010) (2010). doi : 10.46298/dmtcs.2808. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2808/

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