Department of Mathematics
Fall 2018, problem 73
For all positive integers $n$ and $k$, define $F(n,k)=\sum_{r=1}^n{r^{2k-1}}$. Prove that $F(n,1)$ divides $F(n,k)$.
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wgw
3 years ago
Two words -- Faulhaber's formula. (Google it, or just go to the Wikipedia article.)
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Two words -- Faulhaber's formula. (Google it, or just go to the Wikipedia article.)