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

Published 21 Mar 2011 in math.HO | (1103.4288v1)

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.

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Mario Barra

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