Machin-like formulae
M000379
$$\pi=20\arctan\left(\frac{1}{7}\right)+8\arctan\left(\frac{1}{27}\right)+8\arctan\left(\frac{1}{1068}\right)$$
Compact formula
20[7] + 8[27] + 8[1068]
Lehmer's measure
2.21211
References
STØRMER (1896)
(full reference coming soon)