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

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

2010-03-24

arxiv.org/abs/1003.4569v1

Mathematics

Number Theory

24 pages, 5 figures

Scientific paper

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.

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