M000085

$$\pi=3232\arctan\left(\frac{1}{1118}\right)+3484\arctan\left(\frac{2}{47761}\right)+3124\arctan\left(\frac{1}{26307}\right)-1396\arctan\left(\frac{1}{78813}\right)+528\arctan\left(\frac{2}{313489}\right)+1152\arctan\left(\frac{1}{2733307}\right)-332\arctan\left(\frac{1}{15996882}\right)+372\arctan\left(\frac{1}{23747457}\right)$$
Compact formula3232[1118] + 3484[47761/2] + 3124[26307] - 1396[78813] + 528[313489/2] + 1152[2733307] - 332[15996882] + 372[23747457]
Lehmer's measure1.60915
References
MRW (29Jul10) (full reference coming soon)