M000020

$$\pi=2324\arctan\left(\frac{1}{1023}\right)+732\arctan\left(\frac{1}{1710}\right)+2656\arctan\left(\frac{1}{5832}\right)-1416\arctan\left(\frac{1}{103697}\right)-48\arctan\left(\frac{2}{2513489}\right)+332\arctan\left(\frac{1}{6826318}\right)-1416\arctan\left(\frac{2}{18280007883}\right)$$
Compact formula2324[1023] + 732[1710] + 2656[5832] - 1416[103697] - 48[2513489/2] + 332[6826318] - 1416[18280007883/2]
Lehmer's measure1.51713
References
MRW (23Sep04)(*1.56237) (full reference coming soon)