M000205

$$\pi=87470320\arctan\left(\frac{2}{322564791}\right)-200970624\arctan\left(\frac{1}{168623905}\right)+490270708\arctan\left(\frac{1}{201229582}\right)+418962304\arctan\left(\frac{1}{284862638}\right)-276818336\arctan\left(\frac{1}{353566973}\right)+405585660\arctan\left(\frac{1}{778401733}\right)+140379400\arctan\left(\frac{1}{1514342682}\right)+46329268\arctan\left(\frac{2}{3340159163}\right)-30640352\arctan\left(\frac{2}{4204410541}\right)+132744600\arctan\left(\frac{1}{3866973557}\right)+196369028\arctan\left(\frac{1}{7427844818}\right)-192953320\arctan\left(\frac{1}{7959681215}\right)+196694160\arctan\left(\frac{2}{75525552427}\right)-49882276\arctan\left(\frac{1}{118034929852}\right)-338801156\arctan\left(\frac{1}{313329771682}\right)-142341188\arctan\left(\frac{2}{1087840667761}\right)+14140604\arctan\left(\frac{1}{169838669284032}\right)$$
Compact formula87470320[322564791/2] - 200970624[168623905] + 490270708[201229582] + 418962304[284862638] - 276818336[353566973] + 405585660[778401733] + 140379400[1514342682] + 46329268[3340159163/2] - 30640352[4204410541/2] + 132744600[3866973557] + 196369028[7427844818] - 192953320[7959681215] + 196694160[75525552427/2] - 49882276[118034929852] - 338801156[313329771682] - 142341188[1087840667761/2] + 14140604[169838669284032]
Lehmer's measure1.77011
References
ASN (3Jun10)(ΒΆΒΆ1.90443) (full reference coming soon)