M000157

$$\pi=1536424\arctan\left(\frac{1}{2484568}\right)+8670576\arctan\left(\frac{1}{4218932}\right)+5793692\arctan\left(\frac{1}{11612398}\right)-544044\arctan\left(\frac{1}{34713882}\right)+612100\arctan\left(\frac{1}{55153444}\right)-4965944\arctan\left(\frac{1}{113014933}\right)+841916\arctan\left(\frac{1}{145417579}\right)+3265308\arctan\left(\frac{1}{226983307}\right)-1948340\arctan\left(\frac{1}{1085592682}\right)-821128\arctan\left(\frac{1}{2701984943}\right)-4555140\arctan\left(\frac{1}{5475957057}\right)-841916\arctan\left(\frac{1}{6328621667}\right)+4261076\arctan\left(\frac{1}{6436804193}\right)-1896904\arctan\left(\frac{1}{14033378718}\right)$$
Compact formula1536424[2484568] + 8670576[4218932] + 5793692[11612398] - 544044[34713882] + 612100[55153444] - 4965944[113014933] + 841916[145417579] + 3265308[226983307] - 1948340[1085592682] - 821128[2701984943] - 4555140[5475957057] - 841916[6328621667] + 4261076[6436804193] - 1896904[14033378718]
Lehmer's measure1.69890
References
HCL (03Jul03)(*1.72445, ΒΆΒΆ1.88315) (full reference coming soon)