Counting all cubes in {0,1,...,n}^3
Number Theory
2010-03-25 v1 Rings and Algebras
Abstract
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.
Cite
@article{arxiv.1003.4569,
title = {Counting all cubes in {0,1,...,n}^3},
author = {Eugen J. Ionascu and Rodrigo A. Obando},
journal= {arXiv preprint arXiv:1003.4569},
year = {2010}
}
Comments
24 pages, 5 figures