Machin-like formulae
M000248
$$\pi=64\arctan\left(\frac{1}{21}\right)+28\arctan\left(\frac{1}{239}\right)-16\arctan\left(\frac{1}{616}\right)+16\arctan\left(\frac{1}{3141}\right)$$
Compact formula
64[21] + 28[239] - 16[616] + 16[3141]
Lehmer's measure
1.82118
References
MRW (1980)
(full reference coming soon)