M000035

$$\pi=1288\arctan\left(\frac{1}{577}\right)+1164\arctan\left(\frac{1}{1393}\right)+624\arctan\left(\frac{1}{12943}\right)+832\arctan\left(\frac{1}{32807}\right)+176\arctan\left(\frac{1}{1049433}\right)+304\arctan\left(\frac{1}{23053977}\right)+304\arctan\left(\frac{1}{683222322447137}\right)+304\arctan\left(\frac{1}{550439606940346127492293}\right)$$
Compact formula1288[577] + 1164[1393] + 624[12943] + 832[32807] + 176[1049433] + 304[23053977] + 304[683222322447137] + 304[550439606940346127492293]
Lehmer's measure1.55629
References
ASN (27Jul09)(*1.66383) (full reference coming soon)