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Tetrahedral Numbers as Sums of Square Numbers

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

Old Node ID: 
1942
Author(s): 
S. C. Althoen (University of Michigan) and C. B. Lacampagne (Northern Illinois University)
Publication Date: 
Friday, June 13, 2008
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
April, 1991
Subject(s): 
Numbers and Computation
Patterns and Sequences
Number Patterns
Topic(s): 
Numbers With Special Forms or Properties, Binomial Coefficients/Pascal's Triangle
Numbers With Special Forms or Properties, Sums of Powers
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Publish Page: 
Furnished by JSTOR: 
Rating Count: 
14.00
Rating Sum: 
43.00
Rating Average: 
3.07
Author (old format): 
S. C. Althoen and C. B. Lacampagne
Applicable Course(s): 
4.3 Number Theory
Modify Date: 
Friday, August 24, 2012
Average: 3.1 (14 votes)

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