M000137

$$\pi=80842\arctan\left(\frac{1}{32807}\right)+37010\arctan\left(\frac{2}{79011}\right)-63056\arctan\left(\frac{1}{216482}\right)+1592\arctan\left(\frac{1}{390112}\right)+24738\arctan\left(\frac{2}{2885139}\right)+3462\arctan\left(\frac{1}{1610057}\right)+4194\arctan\left(\frac{1}{3449051}\right)+32842\arctan\left(\frac{1}{5059595}\right)+32842\arctan\left(\frac{1}{56749727}\right)+20890\arctan\left(\frac{1}{103224943}\right)$$
Compact formula80842[32807] + 37010[79011/2] - 63056[216482] + 1592[390112] + 24738[2885139/2] + 3462[1610057] + 4194[3449051] + 32842[5059595] + 32842[56749727] + 20890[103224943]
Lehmer's measure1.68461
References
ASN (7Aug10) (full reference coming soon)