M000261

$$\pi=92950973316\arctan\left(\frac{1}{16077395443}\right)+35325159804\arctan\left(\frac{2}{86479075199}\right)-84694213424\arctan\left(\frac{1}{45913688182}\right)-42536322100\arctan\left(\frac{2}{112899039159}\right)-65949987004\arctan\left(\frac{1}{71617196968}\right)-14349727468\arctan\left(\frac{1}{78535779057}\right)-3001807084\arctan\left(\frac{1}{102428655030}\right)+14304072956\arctan\left(\frac{1}{197877956739}\right)-34924321236\arctan\left(\frac{1}{225891903693}\right)-3154478664\arctan\left(\frac{1}{283378114193}\right)-46617931520\arctan\left(\frac{1}{324363564309}\right)+52577475424\arctan\left(\frac{1}{469027618483}\right)+68406237696\arctan\left(\frac{1}{492806748932}\right)+97315992024\arctan\left(\frac{1}{751830514193}\right)+111863671544\arctan\left(\frac{1}{821345641657}\right)-10876170496\arctan\left(\frac{1}{3737240479718}\right)-16986797308\arctan\left(\frac{1}{22486542112682}\right)-19728361416\arctan\left(\frac{1}{28148191112477}\right)-9302439992\arctan\left(\frac{1}{55707370528529}\right)-23666738664\arctan\left(\frac{1}{69971515635443}\right)-29588615156\arctan\left(\frac{1}{109805699900318}\right)-93356370988\arctan\left(\frac{1}{7474541196075273}\right)$$
Compact formula92950973316[16077395443] + 35325159804[86479075199/2] - 84694213424[45913688182] - 42536322100[112899039159/2] - 65949987004[71617196968] - 14349727468[78535779057] - 3001807084[102428655030] + 14304072956[197877956739] - 34924321236[225891903693] - 3154478664[283378114193] - 46617931520[324363564309] + 52577475424[469027618483] + 68406237696[492806748932] + 97315992024[751830514193] + 111863671544[821345641657] - 10876170496[3737240479718] - 16986797308[22486542112682] - 19728361416[28148191112477] - 9302439992[55707370528529] - 23666738664[69971515635443] - 29588615156[109805699900318] - 93356370988[7474541196075273]
Lehmer's measure1.85164
References
MRW (27Jan03)(ΒΆΒΆ1.95772) (full reference coming soon)