Machin-like formulae
M000404
$$\pi=12\arctan\left(\frac{1}{7}\right)+16\arctan\left(\frac{1}{13}\right)+8\arctan\left(\frac{1}{38}\right)$$
Compact formula
12[7] + 16[13] + 8[38]
Lehmer's measure
2.71400
References
STØRMER (1896)
(full reference coming soon)