Machin-like formulae
M000410
$$\pi=16\arctan\left(\frac{1}{6}\right)+4\arctan\left(\frac{1}{7}\right)-8\arctan\left(\frac{1}{117}\right)$$
Compact formula
16[6] + 4[7] - 8[117]
Lehmer's measure
2.95190
References
STØRMER (1896)
(full reference coming soon)