M000130

$$\pi=-1385960\arctan\left(\frac{1}{1770443}\right)+14515344\arctan\left(\frac{1}{4218932}\right)+5643228\arctan\left(\frac{1}{25720843}\right)+5711284\arctan\left(\frac{1}{55153444}\right)+8021568\arctan\left(\frac{1}{69392058}\right)+5776468\arctan\left(\frac{1}{113014933}\right)-4212216\arctan\left(\frac{1}{226983307}\right)+1536424\arctan\left(\frac{1}{419282318}\right)+2606800\arctan\left(\frac{1}{1085592682}\right)+4458808\arctan\left(\frac{1}{1174698307}\right)+6656396\arctan\left(\frac{1}{2701984943}\right)+7183460\arctan\left(\frac{1}{6436804193}\right)-9076556\arctan\left(\frac{1}{14033378718}\right)-2378340\arctan\left(\frac{1}{735834181077}\right)$$
Compact formula- 1385960[1770443] + 14515344[4218932] + 5643228[25720843] + 5711284[55153444] + 8021568[69392058] + 5776468[113014933] - 4212216[226983307] + 1536424[419282318] + 2606800[1085592682] + 4458808[1174698307] + 6656396[2701984943] + 7183460[6436804193] - 9076556[14033378718] - 2378340[735834181077]
Lehmer's measure1.67418
References
HCL (16Jun05)(ΒΆΒΆ1.85024) (full reference coming soon)