M000195

$$\pi=30640352\arctan\left(\frac{1}{27872057}\right)+39014080\arctan\left(\frac{1}{44203064}\right)+17092828\arctan\left(\frac{2}{129425989}\right)+68544840\arctan\left(\frac{1}{127120947}\right)+33492488\arctan\left(\frac{2}{322564791}\right)+33713200\arctan\left(\frac{1}{201229582}\right)+14978716\arctan\left(\frac{1}{284862638}\right)-24752124\arctan\left(\frac{1}{299252491}\right)-15688916\arctan\left(\frac{2}{3472598789}\right)+51501140\arctan\left(\frac{1}{3866973557}\right)+61124688\arctan\left(\frac{1}{7427844818}\right)-26492036\arctan\left(\frac{2}{75525552427}\right)-42388804\arctan\left(\frac{1}{64506738863}\right)+13527504\arctan\left(\frac{1}{118034929852}\right)-9633400\arctan\left(\frac{2}{1087840667761}\right)-16868488\arctan\left(\frac{1}{169838669284032}\right)$$
Compact formula30640352[27872057] + 39014080[44203064] + 17092828[129425989/2] + 68544840[127120947] + 33492488[322564791/2] + 33713200[201229582] + 14978716[284862638] - 24752124[299252491] - 15688916[3472598789/2] + 51501140[3866973557] + 61124688[7427844818] - 26492036[75525552427/2] - 42388804[64506738863] + 13527504[118034929852] - 9633400[1087840667761/2] - 16868488[169838669284032]
Lehmer's measure1.74175
References
MRW (12Aug06) (full reference coming soon)