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suma de sinusuri numar intreg?

 
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Dragos Fratila
Newton


Joined: 04 Oct 2007
Posts: 335
Location: Paris

PostPosted: Tue Nov 29, 2011 11:58 am    Post subject: suma de sinusuri numar intreg? Reply with quote

Fie k>0,n>0 numere intregi. Este expresia

\sum_{i=1}^k \left(\frac{k+1}{2\sin^2(j\pi/k+1)}\right)^n

un numar intreg? Daca da, demonstrati. Daca nu, contraexemplu.


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