Machin-like formulae
M000383
$$\pi=20\arctan\left(\frac{1}{7}\right)+8\arctan\left(\frac{1}{28}\right)+8\arctan\left(\frac{1}{443}\right)$$
Compact formula
20[7] + 8[28] + 8[443]
Lehmer's measure
2.25217
References
STØRMER (1896)
(full reference coming soon)