M000207

$$\pi=184159800\arctan\left(\frac{1}{144235918}\right)-20841768\arctan\left(\frac{2}{322564791}\right)+105140284\arctan\left(\frac{1}{201229582}\right)+216624176\arctan\left(\frac{1}{299252491}\right)+188473236\arctan\left(\frac{1}{468195145}\right)+100616384\arctan\left(\frac{1}{851387893}\right)+202362220\arctan\left(\frac{1}{1514342682}\right)+142143968\arctan\left(\frac{2}{3472598789}\right)-30640352\arctan\left(\frac{2}{4204410541}\right)+98912720\arctan\left(\frac{1}{3866973557}\right)+178190700\arctan\left(\frac{1}{7427844818}\right)-188151636\arctan\left(\frac{1}{7959681215}\right)+42052804\arctan\left(\frac{2}{75525552427}\right)+13376644\arctan\left(\frac{1}{64506738863}\right)-158194364\arctan\left(\frac{1}{118034929852}\right)+46132048\arctan\left(\frac{2}{1087840667761}\right)-32188664\arctan\left(\frac{1}{169838669284032}\right)$$
Compact formula184159800[144235918] - 20841768[322564791/2] + 105140284[201229582] + 216624176[299252491] + 188473236[468195145] + 100616384[851387893] + 202362220[1514342682] + 142143968[3472598789/2] - 30640352[4204410541/2] + 98912720[3866973557] + 178190700[7427844818] - 188151636[7959681215] + 42052804[75525552427/2] + 13376644[64506738863] - 158194364[118034929852] + 46132048[1087840667761/2] - 32188664[169838669284032]
Lehmer's measure1.77401
References
ASN (13Jan10) (full reference coming soon)