Machin-like formulae
M000413
$$\pi=12\arctan\left(\frac{1}{7}\right)+8\arctan\left(\frac{1}{8}\right)+8\arctan\left(\frac{1}{18}\right)$$
Compact formula
12[7] + 8[8] + 8[18]
Lehmer's measure
3.08724
References
SCHELLBACH (1832)
(full reference coming soon)