M000413

$$\pi=12\arctan\left(\frac{1}{7}\right)+8\arctan\left(\frac{1}{8}\right)+8\arctan\left(\frac{1}{18}\right)$$
Compact formula12[7] + 8[8] + 8[18]
Lehmer's measure3.08724
References
SCHELLBACH (1832) (full reference coming soon)