M000219

$$\pi=128769838\arctan\left(\frac{2}{322564791}\right)+112304934\arctan\left(\frac{1}{168623905}\right)+116927758\arctan\left(\frac{1}{201229582}\right)+393003268\arctan\left(\frac{1}{284862638}\right)-138041294\arctan\left(\frac{2}{604534317}\right)+59480454\arctan\left(\frac{1}{687606629}\right)-128130604\arctan\left(\frac{1}{909140573}\right)+45137154\arctan\left(\frac{1}{1304967682}\right)+112818006\arctan\left(\frac{1}{2189376182}\right)+231361570\arctan\left(\frac{2}{4532659739}\right)+49333982\arctan\left(\frac{1}{3261365450}\right)+203211756\arctan\left(\frac{1}{7427844818}\right)-120134784\arctan\left(\frac{1}{27354282288}\right)+109401374\arctan\left(\frac{1}{71617196968}\right)-61259506\arctan\left(\frac{2}{520629831511}\right)+12335390\arctan\left(\frac{1}{1197009532318}\right)-1074262\arctan\left(\frac{1}{169838669284032}\right)$$
Compact formula128769838[322564791/2] + 112304934[168623905] + 116927758[201229582] + 393003268[284862638] - 138041294[604534317/2] + 59480454[687606629] - 128130604[909140573] + 45137154[1304967682] + 112818006[2189376182] + 231361570[4532659739/2] + 49333982[3261365450] + 203211756[7427844818] - 120134784[27354282288] + 109401374[71617196968] - 61259506[520629831511/2] + 12335390[1197009532318] - 1074262[169838669284032]
Lehmer's measure1.78348
References
MRW (11Aug06) (full reference coming soon)