Writing pi as sum of arctangents with linear recurrent sequences, Golden mean and Lucas numbers
classification
🧮 math.NT
keywords
arcotangentsgoldenlinearlucasmeannumbersrecurrentsequences
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In this paper, we study the representation of pi as sum of arcotangents. In particular, we obtain new identities by using linear recurrent sequences. Moreover, we provide a method in order to express pi as sum of arcotangents involving the Golden mean, the Lucas numbers, and more in general any quadratic irrationality.
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