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Tetrahedral Numbers as Sums of Square Numbers

by S. C. Althoen (University of Michigan) and C. B. Lacampagne (Northern Illinois University)

This article originally appeared in:
Mathematics Magazine
April, 1991

Subject classification(s): Numbers and Computation | Patterns and Sequences | Number Patterns
Applicable Course(s): 4.3 Number Theory

The authors find those arithmetic progressions such that the sums of the squares of their terms can be represented by a binomial coefficient.

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Capsule Course Topic(s):
Number Theory | Numbers With Special Forms or Properties, Binomial Coefficients/Pascal's Triangle
Number Theory | Numbers With Special Forms or Properties, Sums of Powers
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