Machin-like formulae

M000031

$$\pi=2324\arctan\left(\frac{1}{1023}\right)+732\arctan\left(\frac{1}{1710}\right)+2656\arctan\left(\frac{1}{5832}\right)-1416\arctan\left(\frac{2}{226043}\right)-1464\arctan\left(\frac{2}{2513489}\right)+332\arctan\left(\frac{1}{6826318}\right)-1416\arctan\left(\frac{1}{109027476193}\right)+1416\arctan\left(\frac{2}{3375905320682366575989}\right)$$
Compact formula2324[1023] + 732[1710] + 2656[5832] - 1416[226043/2] - 1464[2513489/2] + 332[6826318] - 1416[109027476193] + 1416[3375905320682366575989/2]
Lehmer's measure1.55297
References
MRW (23Sep09)(*1.56525, ΒΆΒΆ1.97343) (full reference coming soon)
Contributing