M000151

$$\pi=3562556\arctan\left(\frac{1}{1984933}\right)+3336752\arctan\left(\frac{2}{8649761}\right)+5209624\arctan\left(\frac{1}{5033696}\right)-3866728\arctan\left(\frac{1}{11280443}\right)-4850796\arctan\left(\frac{1}{18975991}\right)+333012\arctan\left(\frac{1}{22709274}\right)+2840580\arctan\left(\frac{1}{24208144}\right)+384128\arctan\left(\frac{2}{75804661}\right)+2562352\arctan\left(\frac{1}{168623905}\right)-2980568\arctan\left(\frac{1}{201229582}\right)-2476996\arctan\left(\frac{1}{546365045}\right)+1611764\arctan\left(\frac{1}{2189376182}\right)+543632\arctan\left(\frac{1}{164432798314}\right)$$
Compact formula3562556[1984933] + 3336752[8649761/2] + 5209624[5033696] - 3866728[11280443] - 4850796[18975991] + 333012[22709274] + 2840580[24208144] + 384128[75804661/2] + 2562352[168623905] - 2980568[201229582] - 2476996[546365045] + 1611764[2189376182] + 543632[164432798314]
Lehmer's measure1.69385
References
MRW (13Aug06) (full reference coming soon)