Dirichlet convolution and enumeration of pyramid polycubes

Christophe Carré (1) , Noemie Debroux (2) , Matthieu Deneufchatel (2) , Jean-Philippe Dubernard (1) , Conrad Hillaret (2) , Jean-Gabriel Luque (1) , Olivier Mallet (1)

1 CA - LITIS - Equipe Combinatoire et algorithmes
2 LITIS - Laboratoire d'Informatique, de Traitement de l'Information et des Systèmes

We investigate the enumeration of two families of polycubes, namely pyramids and espaliers, in connection with the multi-indexed Dirichlet convolution

Mots clés: Enumeration; Dirichlet convolution; Lambert generating functions; Polycubes; Enumeration.

Domaines: Combinatoire [math.CO]

Christophe Carré, Noemie Debroux, Matthieu Deneufchatel, Jean-Philippe Dubernard, Conrad Hillaret, et al.. Dirichlet convolution and enumeration of pyramid polycubes. Journal of Integer Sequences, 2015, 18 (2), pp.Article 15.11.4. ⟨hal-00905889⟩