M000194

$$\pi=64\arctan\left(\frac{1}{21}\right)+12\arctan\left(\frac{1}{239}\right)+16\arctan\left(\frac{2}{695}\right)+16\arctan\left(\frac{1}{724196}\right)$$
Compact formula64[21] + 12[239] + 16[695/2] + 16[724196]
Lehmer's measure1.74096
References
ASN (2007-8 - corrected 5Aug13)*1.86105 - 4-term identity) (full reference coming soon)