Machin-like formulae
M000380
$$\pi=20\arctan\left(\frac{1}{7}\right)+16\arctan\left(\frac{1}{68}\right)+8\arctan\left(\frac{1}{117}\right)$$
Compact formula
20[7] + 16[68] + 8[117]
Lehmer's measure
2.21251
References
STØRMER (1896)
(full reference coming soon)