Machin-like formulae
M000303
$$\pi=16\arctan\left(\frac{1}{5}\right)-8\arctan\left(\frac{1}{478}\right)+4\arctan\left(\frac{1}{54608393}\right)$$
Compact formula
16[5] - 8[478] + 4[54608393]
Lehmer's measure
1.93313
References
STØRMER (1896)
(full reference coming soon)