Machin-like formulae

M000072

$$\pi=38324\arctan\left(\frac{1}{12943}\right)+2880\arctan\left(\frac{1}{57473}\right)+16472\arctan\left(\frac{1}{131168}\right)-5204\arctan\left(\frac{2}{362619}\right)+6796\arctan\left(\frac{1}{1065376}\right)+32848\arctan\left(\frac{2}{2885139}\right)+8944\arctan\left(\frac{1}{1610057}\right)-5508\arctan\left(\frac{1}{6826318}\right)-28424\arctan\left(\frac{1}{103224943}\right)$$
Compact formula38324[12943] + 2880[57473] + 16472[131168] - 5204[362619/2] + 6796[1065376] + 32848[2885139/2] + 8944[1610057] - 5508[6826318] - 28424[103224943]
Lehmer's measure1.59935
References
ASN (1Mar10)(ΒΆΒΆ1.85728) (full reference coming soon)
Contributing