Machin-like formulae

M000095

$$\pi=312352\arctan\left(\frac{1}{64893}\right)-375408\arctan\left(\frac{1}{131168}\right)+230500\arctan\left(\frac{2}{362619}\right)-34408\arctan\left(\frac{1}{1065376}\right)+71172\arctan\left(\frac{2}{2885139}\right)-147232\arctan\left(\frac{1}{1610057}\right)-43832\arctan\left(\frac{1}{6826318}\right)+76648\arctan\left(\frac{1}{27005643}\right)-117852\arctan\left(\frac{1}{33471703}\right)+51104\arctan\left(\frac{1}{103224943}\right)$$
Compact formula312352[64893] - 375408[131168] + 230500[362619/2] - 34408[1065376] + 71172[2885139/2] - 147232[1610057] - 43832[6826318] + 76648[27005643] - 117852[33471703] + 51104[103224943]
Lehmer's measure1.62131
References
MRW (14Aug06)(ΒΆΒΆ1.86451) (full reference coming soon)
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