Geodesic
Enumeration of polycubes and Dirichlet convolutions
Journal of integer sequences, Tome 18 (2015) no. 11.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We present a new method for polycube enumeration, in connection with the multi-indexed Dirichlet convolution, which we illustrate with the study of two families of polycubes, namely pyramids and espaliers.
Keywords: polycube, Dirichlet convolution, Dirichlet generating function, Lambert transform 
@article{JIS_2015__18_11_a0,
     author = {Carr\'e, C. and Debroux, N. and Deneufch\^atel, M. and Dubernard, J.-Ph. and Hillairet, C. and Luque, J.-G. and Mallet, O.},
     title = {Enumeration of polycubes and {Dirichlet} convolutions},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {18},
     number = {11},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_11_a0/}
}
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AU  - Luque, J.-G.
AU  - Mallet, O.
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Carré, C.; Debroux, N.; Deneufchâtel, M.; Dubernard, J.-Ph.; Hillairet, C.; Luque, J.-G.; Mallet, O. Enumeration of polycubes and Dirichlet convolutions. Journal of integer sequences, Tome 18 (2015) no. 11. http://geodesic.mathdoc.fr/item/JIS_2015__18_11_a0/