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Solving a PDE for the damped wave equation I get with a solutions that part of it have the expression:

Sum (sin(Pi*n)/(-1+n^2) , n=1..infinity). n=1,2,3...

When calculating it with Maple I get this is equal to -1/2*Pi.

Can someone of you explain me why?

Thanks a lot!!

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# Sum (sin(Pi*n)/(-1+n^2) , n=1infinity). n=1,2,3

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