Machin-like formulae
M000411
$$\pi=8\arctan\left(\frac{1}{6}\right)+12\arctan\left(\frac{1}{7}\right)+8\arctan\left(\frac{1}{68}\right)$$
Compact formula
8[6] + 12[7] + 8[68]
Lehmer's measure
3.01409
References
STØRMER (1896)
(full reference coming soon)