Machin-like formulae
M000307
$$\pi=32\arctan\left(\frac{1}{10}\right)-4\arctan\left(\frac{1}{239}\right)-32\arctan\left(\frac{1}{1020}\right)+16\arctan\left(\frac{1}{52525}\right)$$
Compact formula
32[10] - 4[239] - 32[1020] + 16[52525]
Lehmer's measure
1.96467
References
CASTELLANOS (1988)
(full reference coming soon)