M000415

$$\pi=8\arctan\left(\frac{1}{5}\right)+12\arctan\left(\frac{1}{8}\right)+4\arctan\left(\frac{1}{57}\right)$$
Compact formula8[5] + 12[8] + 4[57]
Lehmer's measure3.10750
References
STØRMER (1896) (full reference coming soon)