Machin-like formulae
M000390
$$\pi=20\arctan\left(\frac{1}{7}\right)+8\arctan\left(\frac{1}{23}\right)-8\arctan\left(\frac{1}{182}\right)$$
Compact formula
20[7] + 8[23] - 8[182]
Lehmer's measure
2.36011
References
STØRMER (1896)
(full reference coming soon)