Machin-like formulae
M000105: 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 (1896)
(full reference coming soon)