Geodesic
Enumeration of polycubes and Dirichlet convolutions
Journal of integer sequences, Tome 18 (2015) no. 11
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},
     year = {2015},
     volume = {18},
     number = {11},
     zbl = {1328.05042},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_11_a0/}
}
TY  - JOUR
AU  - Carré,  C.
AU  - Debroux,  N.
AU  - Deneufchâtel,  M.
AU  - Dubernard,  J.-Ph.
AU  - Hillairet,  C.
AU  - Luque,  J.-G.
AU  - Mallet,  O.
TI  - Enumeration of polycubes and Dirichlet convolutions
JO  - Journal of integer sequences
PY  - 2015
VL  - 18
IS  - 11
UR  - http://geodesic.mathdoc.fr/item/JIS_2015__18_11_a0/
LA  - en
ID  - JIS_2015__18_11_a0
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%A Debroux,  N.
%A Deneufchâtel,  M.
%A Dubernard,  J.-Ph.
%A Hillairet,  C.
%A Luque,  J.-G.
%A Mallet,  O.
%T Enumeration of polycubes and Dirichlet convolutions
%J Journal of integer sequences
%D 2015
%V 18
%N 11
%U http://geodesic.mathdoc.fr/item/JIS_2015__18_11_a0/
%G en
%F JIS_2015__18_11_a0
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/