Machin-like formulae
M000365
$$\pi=24\arctan\left(\frac{1}{8}\right)+8\arctan\left(\frac{1}{57}\right)+4\arctan\left(\frac{1}{239}\right)$$
Compact formula
24[8] + 8[57] + 4[239]
Lehmer's measure
2.09727
References
STØRMER (1896)(¢¢2.89392)
(full reference coming soon)