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On the Summation of lr + 2r + 3r + … +nr

Published online by Cambridge University Press:  20 January 2009

J. A. Donaldson
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We shall use the notation Σnr= lr + 2r+…+ nr. Mr A. J. Gray suggested to me that n(n+ 1) is always a factor of Σnr, and that, in addition, 2n + 1 is a factor when r is even.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 31 , February 1912 , pp. 9 - 16
Copyright
Copyright © Edinburgh Mathematical Society 1912