M000177

$$\pi=27077796\arctan\left(\frac{2}{13535239}\right)+3562556\arctan\left(\frac{1}{27872057}\right)-25538128\arctan\left(\frac{1}{82189674}\right)-24319672\arctan\left(\frac{1}{133311327}\right)-53853204\arctan\left(\frac{1}{227661182}\right)-58465924\arctan\left(\frac{1}{244653118}\right)+1558880\arctan\left(\frac{1}{284862638}\right)+9521484\arctan\left(\frac{1}{403478642}\right)-27080040\arctan\left(\frac{1}{403916362}\right)+8250592\arctan\left(\frac{1}{727507932}\right)-2210720\arctan\left(\frac{1}{1365179943}\right)+22163404\arctan\left(\frac{1}{2132621070}\right)-31482012\arctan\left(\frac{2}{74522099649}\right)+8318072\arctan\left(\frac{1}{106334643058}\right)-997408\arctan\left(\frac{1}{134520516108}\right)$$
Compact formula27077796[13535239/2] + 3562556[27872057] - 25538128[82189674] - 24319672[133311327] - 53853204[227661182] - 58465924[244653118] + 1558880[284862638] + 9521484[403478642] - 27080040[403916362] + 8250592[727507932] - 2210720[1365179943] + 22163404[2132621070] - 31482012[74522099649/2] + 8318072[106334643058] - 997408[134520516108]
Lehmer's measure1.72432
References
MRW (15Dec03) (full reference coming soon)