Machin-like formulae
M000394
$$\pi=20\arctan\left(\frac{1}{6}\right)-12\arctan\left(\frac{1}{43}\right)+8\arctan\left(\frac{1}{68}\right)$$
Compact formula
20[6] - 12[43] + 8[68]
Lehmer's measure
2.44299
References
STØRMER (1896)
(full reference coming soon)