M000000165

$$\pi=29002772\arctan\left(\frac{1}{19104463}\right)+29427040\arctan\left(\frac{1}{27872057}\right)+20492972\arctan\left(\frac{2}{322564791}\right)+56005104\arctan\left(\frac{1}{201229582}\right)+39573504\arctan\left(\frac{1}{284862638}\right)+3037336\arctan\left(\frac{1}{546365045}\right)-2161412\arctan\left(\frac{1}{1514342682}\right)+27789460\arctan\left(\frac{2}{4204410541}\right)-15137880\arctan\left(\frac{2}{11352069609}\right)+24239668\arctan\left(\frac{1}{6421564557}\right)-8154604\arctan\left(\frac{1}{7427844818}\right)+49867716\arctan\left(\frac{1}{7959681215}\right)+13050032\arctan\left(\frac{2}{75525552427}\right)-33302876\arctan\left(\frac{2}{108928448489}\right)+15853176\arctan\left(\frac{2}{1087840667761}\right)-27194136\arctan\left(\frac{1}{169838669284032}\right)$$