Machin-like formulae
M000368
$$\pi=16\arctan\left(\frac{1}{5}\right)-4\arctan\left(\frac{1}{252}\right)-4\arctan\left(\frac{1}{4633}\right)$$
Compact formula
16[5] - 4[252] - 4[4633]
Lehmer's measure
2.11988
References
STØRMER (1896)
(full reference coming soon)