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

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

2011-03-21

arxiv.org/abs/1103.4288v1

Mathematics

History and Overview

12 pages, based on lecture notes to undergraduaded students

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

A Geometrical Way to Sum Powers by Means of Tetrahedrons and Eulerian Numbers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Geometrical Way to Sum Powers by Means of Tetrahedrons and Eulerian Numbers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Geometrical Way to Sum Powers by Means of Tetrahedrons and Eulerian Numbers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-324210