M000051

$$\pi=13260\arctan\left(\frac{1}{7535}\right)+12888\arctan\left(\frac{1}{9703}\right)+4424\arctan\left(\frac{1}{57532}\right)-5284\arctan\left(\frac{1}{167318}\right)+1592\arctan\left(\frac{2}{529661}\right)-460\arctan\left(\frac{1}{664373}\right)+3436\arctan\left(\frac{1}{1048768}\right)-2500\arctan\left(\frac{1}{7042807}\right)$$
Compact formula13260[7535] + 12888[9703] + 4424[57532] - 5284[167318] + 1592[529661/2] - 460[664373] + 3436[1048768] - 2500[7042807]
Lehmer's measure1.57855
References
MRW (23Jun03)(ΒΆΒΆ1.91037) (full reference coming soon)