M000309

$$\pi=48\arctan\left(\frac{1}{18}\right)+32\arctan\left(\frac{1}{75}\right)+12\arctan\left(\frac{1}{239}\right)+32\arctan\left(\frac{1}{39307}\right)$$
Compact formula48[18] + 32[75] + 12[239] + 32[39307]
Lehmer's measure1.96805
References
HCL (26Jan95)(*2.12025) (full reference coming soon)