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Triangular numbers and sums of squares

Published online by Cambridge University Press:  01 August 2016

C. J. Bradley
C. J. Bradley*
Affiliation:
Clifton College, Bristol BS8 3JH
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Extract

For a given positive integer n, the nth triangular number, Tn, is defined by

it is consistent to extend this definition by writing T0 = 0 and T-n-1 = Tn, so that the above formula holds for all integers n, whether positive, zero or negative.

Type
Research Article
Information
The Mathematical Gazette , Volume 72 , Issue 462 , December 1988 , pp. 297 - 301
Copyright
Copyright © The Mathematical Association 1988

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