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Nicomachus,s Theorem

المؤلف:  Havil, J

المصدر:  Gamma: Exploring Euler,s Constant. Princeton, NJ: Princeton University Press

الجزء والصفحة:  p. 82

12-12-2020

1264

Nicomachus's Theorem

The th cubic number  is a sum of  consecutive odd numbers, for example

			(1)
			(2)
			(3)
			(4)

etc. This identity follows from

(5)

It also follows from this fact that

(6)

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REFERENCES:

Havil, J. Gamma: Exploring Euler's Constant. Princeton, NJ: Princeton University Press, p. 82, 2003.