M000027

$$\pi=41204\arctan\left(\frac{1}{12943}\right)-5760\arctan\left(\frac{1}{31182}\right)+1592\arctan\left(\frac{2}{362619}\right)+19352\arctan\left(\frac{1}{188703}\right)+48284\arctan\left(\frac{2}{2885139}\right)-732\arctan\left(\frac{1}{1610057}\right)-8388\arctan\left(\frac{1}{6826318}\right)-31304\arctan\left(\frac{1}{103224943}\right)+6796\arctan\left(\frac{1}{20318316993}\right)$$
Compact formula41204[12943] - 5760[31182] + 1592[362619/2] + 19352[188703] + 48284[2885139/2] - 732[1610057] - 8388[6826318] - 31304[103224943] + 6796[20318316993]
Lehmer's measure1.53702
References
ASN (6Aug12) (full reference coming soon)