M000121

$$\pi=6549636\arctan\left(\frac{1}{3139557}\right)+2875116\arctan\left(\frac{1}{4057165}\right)+782248\arctan\left(\frac{1}{4218932}\right)+3853328\arctan\left(\frac{2}{23866411}\right)-3720088\arctan\left(\frac{2}{90510287}\right)-3743512\arctan\left(\frac{1}{60033932}\right)-4215272\arctan\left(\frac{1}{160007778}\right)+1867396\arctan\left(\frac{1}{173691877}\right)-5928768\arctan\left(\frac{1}{361632045}\right)+4364272\arctan\left(\frac{1}{404744283}\right)+3616892\arctan\left(\frac{1}{773302059}\right)-3806060\arctan\left(\frac{2}{5365629701}\right)+3158820\arctan\left(\frac{1}{3293860443}\right)$$
Compact formula6549636[3139557] + 2875116[4057165] + 782248[4218932] + 3853328[23866411/2] - 3720088[90510287/2] - 3743512[60033932] - 4215272[160007778] + 1867396[173691877] - 5928768[361632045] + 4364272[404744283] + 3616892[773302059] - 3806060[5365629701/2] + 3158820[3293860443]
Lehmer's measure1.65659
References
ASN (13Jan10)(ΒΆΒΆ1.83265) (full reference coming soon)