Journal of Integer Sequences, Vol. 18 (2015), Article 15.11.4

Enumeration of Polycubes and Dirichlet Convolutions

C. Carré, N. Debroux, M. Deneufchâtel, J.-Ph. Dubernard, C. Hillairet, J.-G. Luque, and O. Mallet
Université de Rouen
Faculté des Sciences et Techniques - Madrillet
Avenue de l’Université
76801 St Etienne du Rouvray CEDEX


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.

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(Concerned with sequences A008288 A229914 A229915 A239257.)

Received June 19 2015; revised versions received August 12 2015; October 8 2015; October 20 2015. Published in Journal of Integer Sequences, November 25 2015.

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