Mathematical constants and numbers edited by Simon Plouffe Associate Professor LaCIM, University of Quebec at Montreal http://www.lacim.uqam.ca/pi : Plouffe's Inverter plouffe@math.uqam.ca The first 498 Bernoulli numbers are the coefficients of the series expansion of t*exp(x*t)/(exp(t)-1) = sum( B(n,x)/n!*t^n, n=0..infinity ). Bernoulli(2) 1/6 Bernoulli(4) -1/30 Bernoulli(6) 1/42 Bernoulli(8) -1/30 Bernoulli(10) 5/66 Bernoulli(12) -691/2730 Bernoulli(14) 7/6 Bernoulli(16) -3617/510 Bernoulli(18) 43867/798 Bernoulli(20) -174611/330 Bernoulli(22) 854513/138 Bernoulli(24) -236364091/2730 Bernoulli(26) 8553103/6 Bernoulli(28) -23749461029/870 Bernoulli(30) 8615841276005/14322 Bernoulli(32) -7709321041217/510 Bernoulli(34) 2577687858367/6 Bernoulli(36) -26315271553053477373/1919190 Bernoulli(38) 2929993913841559/6 Bernoulli(40) -261082718496449122051/13530 Bernoulli(42) 1520097643918070802691/1806 Bernoulli(44) -27833269579301024235023/690 Bernoulli(46) 596451111593912163277961/282 Bernoulli(48) -5609403368997817686249127547/46410 Bernoulli(50) 495057205241079648212477525/66 Bernoulli(52) -801165718135489957347924991853/1590 Bernoulli(54) 29149963634884862421418123812691/798 Bernoulli(56) -2479392929313226753685415739663229/870 Bernoulli(58) 84483613348880041862046775994036021/354 Bernoulli(60) -1215233140483755572040304994079820246041491/56786730 Bernoulli(62) 12300585434086858541953039857403386151/6 Bernoulli(64) -106783830147866529886385444979142647942017/510 Bernoulli(66) 1472600022126335654051619428551932342241899101/64722 Bernoulli(68) -78773130858718728141909149208474606244347001/30 Bernoulli(70) 1505381347333367003803076567377857208511438160235/4686 Bernoulli(72) -5827954961669944110438277244641067365282488301844260429/140100870 Bernoulli(74) 34152417289221168014330073731472635186688307783087/6 Bernoulli(76) -24655088825935372707687196040585199904365267828865801/30 Bernoulli(78) 414846365575400828295179035549542073492199375372400483487/3318 Bernoulli(80) -4603784299479457646935574969019046849794257872751288919656867/230010 Bernoulli(82) 1677014149185145836823154509786269900207736027570253414881613/498 Bernoulli(84) -2024576195935290360231131160111731009989917391198090877281083932477/3404310 Bernoulli(86) 660714619417678653573847847426261496277830686653388931761996983/6 Bernoulli(88) -1311426488674017507995511424019311843345750275572028644296919890574047/61410 Bernoulli(90) 1179057279021082799884123351249215083775254949669647116231545215727922535/ 272118 Bernoulli(92) -1295585948207537527989427828538576749659341483719435143023316326829946247/1410 Bernoulli(94) 1220813806579744469607301679413201203958508415202696621436215105284649447/6 Bernoulli(96) -211600449597266513097597728109824233673043954389060234150638733420050668349987 259/4501770 Bernoulli(98) 67908260672905495624051117546403605607342195728504487509073961249992947058239/6
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