Power Sum and Sum of Partial Power Sums
Power Sum and Sum of Partial Power Sums
(May 1, 2008)
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Power Sum
where p, n are positive integers.
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A family of Power Sum formulas are formed for p = 1, 2, ..., 14 as shown in the following:
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14. 
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Sum of Partial Power Sum (Update of Repeated Power Series, June 27, 2005)
Define
 ,
where m, n, k, and i are positive integers.
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Computing the Sum of Partial Power Sum for m = 1, 2, …, 12 gives
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2. 
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12. 
(May 1, 2008)
Similar series - Finite Alternative Odd Power Series.
In-Text or Website Citation
Tue N. Vu, Power Sum and Sum of Partial Power Sums, from Series Math Study Resource.