Counting all cubes in 0,1,...,n3

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.

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