Machin-like formulae

M000126

$$\pi=48000\arctan\left(\frac{1}{32807}\right)+69852\arctan\left(\frac{2}{79011}\right)-63056\arctan\left(\frac{1}{216482}\right)+67276\arctan\left(\frac{1}{390112}\right)+57580\arctan\left(\frac{2}{2885139}\right)-29380\arctan\left(\frac{1}{1610057}\right)+37036\arctan\left(\frac{1}{3449051}\right)-65684\arctan\left(\frac{1}{18975991}\right)-11952\arctan\left(\frac{1}{103224943}\right)+65684\arctan\left(\frac{1}{201229582}\right)$$
Compact formula48000[32807] + 69852[79011/2] - 63056[216482] + 67276[390112] + 57580[2885139/2] - 29380[1610057] + 37036[3449051] - 65684[18975991] - 11952[103224943] + 65684[201229582]
Lehmer's measure1.66430
References
ASN (7Aug10) (full reference coming soon)
Contributing