Machin-like formulae
M000405
$$\pi=12\arctan\left(\frac{1}{4}\right)+4\arctan\left(\frac{1}{20}\right)+4\arctan\left(\frac{1}{1985}\right)$$
Compact formula
12[4] + 4[20] + 4[1985]
Lehmer's measure
2.73282
References
*MACHIN (1706)
(full reference coming soon)