M000015

$$\pi=732\arctan\left(\frac{1}{239}\right)+128\arctan\left(\frac{1}{1023}\right)-272\arctan\left(\frac{1}{5832}\right)+48\arctan\left(\frac{1}{113021}\right)-400\arctan\left(\frac{1}{6826318}\right)-48\arctan\left(\frac{1}{33366019650}\right)+48\arctan\left(\frac{1}{43599522992503626068}\right)$$
Compact formula732[239] + 128[1023] - 272[5832] + 48[113021] - 400[6826318] - 48[33366019650] + 48[43599522992503626068]
Lehmer's measure1.50840
References
HCL (21Jun03)(*1.51244) (full reference coming soon)