M000087

$$\pi=88\arctan\left(\frac{1}{28}\right)+8\arctan\left(\frac{1}{443}\right)-20\arctan\left(\frac{1}{1112}\right)-20\arctan\left(\frac{1}{8637069}\right)+20\arctan\left(\frac{1}{133280317780182}\right)$$
Compact formula88[28] + 8[443] - 20[1112] - 20[8637069] + 20[133280317780182]
Lehmer's measure1.61213
References
ASN (14Sep09)(*1.63435 - v. Escott, 4-term & below) (full reference coming soon)