Machin-like formulae

M000055

$$\pi=117852\arctan\left(\frac{1}{31182}\right)+1592\arctan\left(\frac{2}{362619}\right)-104260\arctan\left(\frac{1}{188703}\right)-75328\arctan\left(\frac{2}{2885139}\right)-41936\arctan\left(\frac{1}{1610057}\right)-41204\arctan\left(\frac{1}{2086882}\right)+32816\arctan\left(\frac{1}{6826318}\right)-82408\arctan\left(\frac{1}{56451973}\right)+51104\arctan\left(\frac{1}{103224943}\right)-34408\arctan\left(\frac{1}{20318316993}\right)$$
Compact formula117852[31182] + 1592[362619/2] - 104260[188703] - 75328[2885139/2] - 41936[1610057] - 41204[2086882] + 32816[6826318] - 82408[56451973] + 51104[103224943] - 34408[20318316993]
Lehmer's measure1.58107
References
ASN (6Aug12) (full reference coming soon)
Contributing