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.
Full version: pdf,
(Concerned with sequences
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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