M000380

$$\pi=20\arctan\left(\frac{1}{7}\right)+16\arctan\left(\frac{1}{68}\right)+8\arctan\left(\frac{1}{117}\right)$$
Compact formula20[7] + 16[68] + 8[117]
Lehmer's measure2.21251
References
STØRMER (1896) (full reference coming soon)