M000192

$$\pi=57905980\arctan\left(\frac{1}{82189674}\right)+147428484\arctan\left(\frac{1}{225823278}\right)+159508280\arctan\left(\frac{1}{244653118}\right)+143570928\arctan\left(\frac{1}{284862638}\right)+68591468\arctan\left(\frac{1}{403478642}\right)+143059252\arctan\left(\frac{1}{403916362}\right)+27077796\arctan\left(\frac{1}{657922943}\right)-43146876\arctan\left(\frac{1}{727507932}\right)+165527288\arctan\left(\frac{2}{1498434239}\right)-27625200\arctan\left(\frac{1}{934981432}\right)-166331720\arctan\left(\frac{2}{4417955351}\right)+27882228\arctan\left(\frac{1}{7804016832}\right)+108821360\arctan\left(\frac{2}{74522099649}\right)-107118224\arctan\left(\frac{1}{106334643058}\right)+56720740\arctan\left(\frac{1}{134520516108}\right)+58265552\arctan\left(\frac{1}{293153860797}\right)$$
Compact formula57905980[82189674] + 147428484[225823278] + 159508280[244653118] + 143570928[284862638] + 68591468[403478642] + 143059252[403916362] + 27077796[657922943] - 43146876[727507932] + 165527288[1498434239/2] - 27625200[934981432] - 166331720[4417955351/2] + 27882228[7804016832] + 108821360[74522099649/2] - 107118224[106334643058] + 56720740[134520516108] + 58265552[293153860797]
Lehmer's measure1.73678
References
MRW (16Dec03) (full reference coming soon)