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A Geometrical Way to Sum Powers by Means of Tetrahedrons and Eulerian Numbers

By Mario Barra

Abstract

We geometrically prove that in a d-dimensional cube with edges of length n, the number of particular d-dimensional tetrahedrons are given by Eulerian numbers. These tetrahedrons tassellate the cube, In this way the sum of the cubes are the sums of the tetrahedrons, whose calculation is trivial.Comment: 12 pages, based on lecture notes to undergraduaded student

Topics: Mathematics - History and Overview
Year: 2011
OAI identifier: oai:arXiv.org:1103.4288
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