M000083

$$\pi=48000\arctan\left(\frac{1}{32807}\right)+69852\arctan\left(\frac{2}{79011}\right)-63056\arctan\left(\frac{1}{216482}\right)+67276\arctan\left(\frac{1}{390112}\right)+57580\arctan\left(\frac{2}{2885139}\right)-29380\arctan\left(\frac{1}{1610057}\right)+37036\arctan\left(\frac{1}{3449051}\right)-65684\arctan\left(\frac{1}{20951745}\right)-11952\arctan\left(\frac{1}{103224943}\right)-65684\arctan\left(\frac{2}{5926170808454361}\right)$$
Compact formula48000[32807] + 69852[79011/2] - 63056[216482] + 67276[390112] + 57580[2885139/2] - 29380[1610057] + 37036[3449051] - 65684[20951745] - 11952[103224943] - 65684[5926170808454361/2]
Lehmer's measure1.60770
References
ASN (7Aug10)(*1.66431, ΒΆΒΆ1.85112) (full reference coming soon)