Machin-like formulae
M000375
$$\pi=24\arctan\left(\frac{1}{7}\right)-16\arctan\left(\frac{1}{57}\right)+4\arctan\left(\frac{1}{239}\right)$$
Compact formula
24[7] - 16[57] + 4[239]
Lehmer's measure
2.17326
References
STØRMER (1896)
(full reference coming soon)