M000241

$$\pi=3282161352\arctan\left(\frac{1}{2189376182}\right)+2096472596\arctan\left(\frac{2}{5493779561}\right)+3319338608\arctan\left(\frac{1}{4038832337}\right)+641644692\arctan\left(\frac{1}{6608082112}\right)-1024595576\arctan\left(\frac{2}{16758521543}\right)-431594592\arctan\left(\frac{1}{9392165427}\right)-982772732\arctan\left(\frac{1}{12957904393}\right)-499507264\arctan\left(\frac{2}{36523075989}\right)+4146405860\arctan\left(\frac{1}{18710140581}\right)+2741564108\arctan\left(\frac{1}{29546599818}\right)+1105169276\arctan\left(\frac{1}{38185029043}\right)-5356900404\arctan\left(\frac{2}{112899039159}\right)-3577811368\arctan\left(\frac{1}{265542904947}\right)+787403960\arctan\left(\frac{1}{378137211957}\right)-3233902492\arctan\left(\frac{1}{579766497643}\right)+985435188\arctan\left(\frac{1}{3737240479718}\right)+678860828\arctan\left(\frac{1}{11830545643782}\right)-2155800460\arctan\left(\frac{1}{46150510628682}\right)-2479675500\arctan\left(\frac{1}{69971515635443}\right)+599437000\arctan\left(\frac{1}{24412992821228897}\right)$$
Compact formula3282161352[2189376182] + 2096472596[5493779561/2] + 3319338608[4038832337] + 641644692[6608082112] - 1024595576[16758521543/2] - 431594592[9392165427] - 982772732[12957904393] - 499507264[36523075989/2] + 4146405860[18710140581] + 2741564108[29546599818] + 1105169276[38185029043] - 5356900404[112899039159/2] - 3577811368[265542904947] + 787403960[378137211957] - 3233902492[579766497643] + 985435188[3737240479718] + 678860828[11830545643782] - 2155800460[46150510628682] - 2479675500[69971515635443] + 599437000[24412992821228897]
Lehmer's measure1.81807
References
MRW (08Nov00) (full reference coming soon)