M000294

$$\pi=53983304181\arctan\left(\frac{2}{115004793075}\right)+48918708859\arctan\left(\frac{1}{102428655030}\right)+72031284574\arctan\left(\frac{2}{235558026661}\right)+16798518318\arctan\left(\frac{1}{120563046313}\right)+46965635220\arctan\left(\frac{2}{247015013489}\right)+66012812646\arctan\left(\frac{1}{146235453343}\right)+23900482641\arctan\left(\frac{1}{195274351082}\right)-49888679562\arctan\left(\frac{1}{378137211957}\right)+32080765187\arctan\left(\frac{1}{521433511178}\right)+66458965048\arctan\left(\frac{1}{798587208809}\right)+35102656695\arctan\left(\frac{1}{1687111941338}\right)-67709342249\arctan\left(\frac{1}{2196973730667}\right)+25196745133\arctan\left(\frac{1}{2267426627682}\right)-7094223295\arctan\left(\frac{1}{3037967579288}\right)+53554525186\arctan\left(\frac{1}{3737240479718}\right)-53697905807\arctan\left(\frac{1}{14113057272907}\right)-28686370121\arctan\left(\frac{1}{15962244871097}\right)-7029717687\arctan\left(\frac{2}{53518224361625}\right)+3348776662\arctan\left(\frac{1}{42205358676970}\right)-16101356001\arctan\left(\frac{1}{69971515635443}\right)-439509324\arctan\left(\frac{1}{96648634011432}\right)+49435512864\arctan\left(\frac{1}{150361024828932}\right)+1856724795\arctan\left(\frac{2}{7783134400901473}\right)-18355233795\arctan\left(\frac{1}{74295753693510382}\right)$$
Compact formula53983304181[115004793075/2] + 48918708859[102428655030] + 72031284574[235558026661/2] + 16798518318[120563046313] + 46965635220[247015013489/2] + 66012812646[146235453343] + 23900482641[195274351082] - 49888679562[378137211957] + 32080765187[521433511178] + 66458965048[798587208809] + 35102656695[1687111941338] - 67709342249[2196973730667] + 25196745133[2267426627682] - 7094223295[3037967579288] + 53554525186[3737240479718] - 53697905807[14113057272907] - 28686370121[15962244871097] - 7029717687[53518224361625/2] + 3348776662[42205358676970] - 16101356001[69971515635443] - 439509324[96648634011432] + 49435512864[150361024828932] + 1856724795[7783134400901473/2] - 18355233795[74295753693510382]
Lehmer's measure1.92909
References
MRW (21Aug11) (full reference coming soon)