M000182

$$\pi=224\arctan\left(\frac{1}{99}\right)+108\arctan\left(\frac{1}{239}\right)+128\arctan\left(\frac{1}{307}\right)+48\arctan\left(\frac{1}{4693}\right)-48\arctan\left(\frac{1}{31895807}\right)$$
Compact formula224[99] + 108[239] + 128[307] + 48[4693] - 48[31895807]
Lehmer's measure1.72925
References
MRW (1975)(ΒΆΒΆ2.32533) (full reference coming soon)