M000403

$$\pi=8\arctan\left(\frac{1}{7}\right)+16\arctan\left(\frac{1}{8}\right)+4\arctan\left(\frac{1}{239}\right)$$
Compact formula8[7] + 16[8] + 4[239]
Lehmer's measure2.71105
References
STØRMER (1896) (full reference coming soon)