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cot−1(3)+cot−1(7)+cot−1(13)+cot−1(21)+…= ? \cot^{-1}(3) + \cot^{-1} (7) + \cot^{-1} (13) + \cot^{-1}(21) + \ldots = \ ? cot−1(3)+cot−1(7)+cot−1(13)+cot−1(21)+…= ?
Clarification: 3,7,13,21,…3,7,13,21,\ldots3,7,13,21,… is an increasing progression of integers for which the difference between the nnn-th and (n−1)(n-1)(n−1)-th term is equals to 2n2n2n.
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