Machin-like formulae
M000387
$$\pi=20\arctan\left(\frac{1}{6}\right)-4\arctan\left(\frac{1}{68}\right)-12\arctan\left(\frac{1}{117}\right)$$
Compact formula
20[6] - 4[68] - 12[117]
Lehmer's measure
2.31431
References
STØRMER (1896)
(full reference coming soon)