Machin-like formulae
M000230
$$\pi=64\arctan\left(\frac{1}{21}\right)+12\arctan\left(\frac{1}{239}\right)+16\arctan\left(\frac{1}{353}\right)+16\arctan\left(\frac{1}{21637}\right)$$
Compact formula
64[21] + 12[239] + 16[353] + 16[21637]
Lehmer's measure
1.79992
References
ASN (29Jun09)(*1.86105)
(full reference coming soon)