Infinite Trig Sum

Algebra Level 2

cot13+cot17+cot113+cot121+cot131+ \cot^{-1} 3 + \cot^{-1} 7 + \cot^{-1} 13 + \cot^{-1} 21 + \cot ^ {-1} 31 + \ldots

Evaluate the sum above in degrees.

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