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僑生先修部
國立僑生大學先修班學報
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國立僑生大學先修班學報
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http://rportal.lib.ntnu.edu.tw/handle/20.500.12235/217
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On the Sum of the K-th Powers of the First N Integers
(
國立僑生大學先修班
,
1993-07-??
)
馮龍驤
;
Lung-Hsiang Feng
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本文對數列1k+2k+…+nk,nєN,作進一步探討,首先提出以前八位學者曾用不同方法導出不同程度的推論。而本文利用和差分法及組合分析,此數列的特性,加以歸納,提出引理及定理,最後利用電腦程式,作出二例以茲證明此法較有系統,也較便捷。
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