1的x次方加2的x次方一直加到N的x次方，求和公式是什麼？

http://en.wikipedia.org/wiki/Indefinite_sum#Antidifferences_of_rational_functions

2012-06-13 06:23:53 補充：

圖片參考：http://i212.photobucket.com/albums/cc82/doraemonpaul/yahooknowledge/continuousextension/continuousextension9.jpg

參考資料：
my wisdom of maths + results from http://en.wikipedia.org/wiki/Indefinite_sum#Antidifferences_of_rational_functions + http://www.wolframalpha.com/input/?i=sum+n%5Ex%2Cn%3D1+to+N + formula from http://en.wikipedia.org/wiki/Hurwitz_zeta_function + http://en.wikipedia.org/wiki/Riemann_zeta_function + http://en.wikipedia.org/wiki/Polygamma_function + http://en.wikipedia.org/wiki/Fractional_calculus

沒有這公式吧...
你的X未知
如果X=0→結果是N
X=1→結果是(1+N)*N/2
X=2→結果是1/6N(N+1)(2N+1)
X=3→結果是1/4N^2(N+1)^2
......
應該不希望我繼續寫下去吧...(寫不完的...)

應該沒這公式吧,........

NO

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