M000227

$$\pi=1356260432\arctan\left(\frac{1}{1454097393}\right)+2069272524\arctan\left(\frac{1}{1479406293}\right)+496910824\arctan\left(\frac{1}{3816349818}\right)-106194348\arctan\left(\frac{1}{4038832337}\right)-2752641020\arctan\left(\frac{2}{12800795261}\right)+3166982612\arctan\left(\frac{1}{6608082112}\right)+4660296148\arctan\left(\frac{1}{9561488343}\right)-194148792\arctan\left(\frac{1}{18471834623}\right)+3374694432\arctan\left(\frac{1}{18710140581}\right)+1456190168\arctan\left(\frac{1}{24858161060}\right)-265035284\arctan\left(\frac{1}{29546599818}\right)-2901695708\arctan\left(\frac{2}{112899039159}\right)+2734395228\arctan\left(\frac{1}{102416588812}\right)-1704552056\arctan\left(\frac{1}{113201494333}\right)-3677741104\arctan\left(\frac{1}{265542904947}\right)+1365998728\arctan\left(\frac{1}{378137211957}\right)+385998188\arctan\left(\frac{1}{3737240479718}\right)+2032524820\arctan\left(\frac{1}{11830545643782}\right)-1050901960\arctan\left(\frac{1}{12433164124467}\right)$$
Compact formula1356260432[1454097393] + 2069272524[1479406293] + 496910824[3816349818] - 106194348[4038832337] - 2752641020[12800795261/2] + 3166982612[6608082112] + 4660296148[9561488343] - 194148792[18471834623] + 3374694432[18710140581] + 1456190168[24858161060] - 265035284[29546599818] - 2901695708[112899039159/2] + 2734395228[102416588812] - 1704552056[113201494333] - 3677741104[265542904947] + 1365998728[378137211957] + 385998188[3737240479718] + 2032524820[11830545643782] - 1050901960[12433164124467]
Lehmer's measure1.79772
References
MRW (30Mar04)(ΒΆΒΆ1.92383) (full reference coming soon)