M000231

$$\pi=21231929458\arctan\left(\frac{1}{5352469112}\right)-8610150858\arctan\left(\frac{1}{6608082112}\right)+16866910750\arctan\left(\frac{1}{32863722478}\right)+26948513354\arctan\left(\frac{2}{86479075199}\right)-12927746192\arctan\left(\frac{2}{112899039159}\right)-23719632496\arctan\left(\frac{1}{71617196968}\right)-1727948868\arctan\left(\frac{1}{78535779057}\right)-19868717834\arctan\left(\frac{1}{102428655030}\right)+18549205106\arctan\left(\frac{1}{197877956739}\right)+11551165422\arctan\left(\frac{1}{225891903693}\right)-3154478664\arctan\left(\frac{1}{283378114193}\right)-142444862\arctan\left(\frac{1}{324363564309}\right)+1736970058\arctan\left(\frac{1}{469027618483}\right)-11922957020\arctan\left(\frac{1}{492806748932}\right)+1925900920\arctan\left(\frac{1}{821345641657}\right)+10355758962\arctan\left(\frac{1}{3737240479718}\right)-7106582816\arctan\left(\frac{1}{28148191112477}\right)+3319338608\arctan\left(\frac{1}{55707370528529}\right)-6679941356\arctan\left(\frac{1}{69971515635443}\right)-12601817848\arctan\left(\frac{1}{109805699900318}\right)+3959621036\arctan\left(\frac{1}{7474541196075273}\right)$$
Compact formula21231929458[5352469112] - 8610150858[6608082112] + 16866910750[32863722478] + 26948513354[86479075199/2] - 12927746192[112899039159/2] - 23719632496[71617196968] - 1727948868[78535779057] - 19868717834[102428655030] + 18549205106[197877956739] + 11551165422[225891903693] - 3154478664[283378114193] - 142444862[324363564309] + 1736970058[469027618483] - 11922957020[492806748932] + 1925900920[821345641657] + 10355758962[3737240479718] - 7106582816[28148191112477] + 3319338608[55707370528529] - 6679941356[69971515635443] - 12601817848[109805699900318] + 3959621036[7474541196075273]
Lehmer's measure1.80048
References
HCL (04Jul03)(ΒΆΒΆ1.91180) (full reference coming soon)