M000000105: Escott's Identity

$$\pi=88\arctan\left(\frac{1}{28}\right)+8\arctan\left(\frac{1}{443}\right)-20\arctan\left(\frac{1}{1393}\right)-40\arctan\left(\frac{1}{11018}\right)$$

Name	Escott's Identity
Compact formula	`88[28] + 8[443] - 20[1393] - 40[11018]`
Lehmer's measure	1.63434
References	Escott, E.-B. Response to "Sur la formule de Machin et les formules analogues" (Gravé, D.), L'intermédiaire des mathematicians 3, 276–276, 1896. Download references as BibTeΧ