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Summing Cubes by Counting Rectangles

by A. Benjamin and J. Quinn

This article originally appeared in:
College Mathematics Journal
November, 2006

Subject classification(s): Discrete Mathematics | Combinatorics | Combinations
Applicable Course(s): 3.7 Discrete Math | 4.3 Number Theory

Starting with a homework problem on combinations, the capsule applies the "checkerboard" logic to derive identities involving summing squares and cubes.

A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.

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Capsule Course Topic(s):
Number Theory | Other Number Theory
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