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Paper detail

Counting all cubes in {0,1,...,n}^3

In this paper we describe a procedure of calculating the number cubes that have coordinates in the set {0,1,...,n}. We adapt the code that appeared in [11] developed to calculate the number of regular tetrahedra with coordinates in the set {0,1,...,n}. The idea is based on the theoretical results obtained in [13]. We extend then the sequence A098928 in the Online Encyclopedia of Integer Sequences to the first one hundred terms.

preprint2010arXivOpen access
Eugen J. IonascuRodrigo A. Obando
math.RAmath.NT
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Eugen J. IonascuRodrigo A. Obando

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