M000132

$$\pi=1933364\arctan\left(\frac{2}{1230349}\right)-304172\arctan\left(\frac{1}{1984933}\right)+543632\arctan\left(\frac{1}{2298668}\right)-529976\arctan\left(\frac{2}{8649761}\right)+255632\arctan\left(\frac{1}{5033696}\right)-440436\arctan\left(\frac{1}{18975991}\right)-210620\arctan\left(\frac{1}{22709274}\right)+363584\arctan\left(\frac{1}{24208144}\right)+384128\arctan\left(\frac{2}{75804661}\right)-458276\arctan\left(\frac{1}{168623905}\right)-503572\arctan\left(\frac{1}{201229582}\right)-321600\arctan\left(\frac{1}{2189376182}\right)$$
Compact formula1933364[1230349/2] - 304172[1984933] + 543632[2298668] - 529976[8649761/2] + 255632[5033696] - 440436[18975991] - 210620[22709274] + 363584[24208144] + 384128[75804661/2] - 458276[168623905] - 503572[201229582] - 321600[2189376182]
Lehmer's measure1.67838
References
ASN (26Feb10) (full reference coming soon)