Crack the Inverse!

Geometry Level 4

arctan13+arctan17+arctan113++arctan11+n+n2+arctan1n+1= ? \arctan\frac{1}{3}+\arctan\frac{1}{7}+\arctan\frac{1}{13}+ \ldots +\arctan\frac{1}{1+n+n^{2}}\\ +\arctan\frac{1}{n+1}=\ ?

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