Writing π as sum of arctangents with linear recurrent sequences, Golden mean and Lucas numbers
Writing π as sum of arctangents with linear recurrent sequences, Golden mean and Lucas numbers
In this paper, we study the representation of π as sum of arctangents. In particular, we highlight the role of linear recurrent sequences obtaining new identities. Moreover, we provide a method in order to express π as sum of arctangents involving the Golden mean, the Lucas numbers, and more in …