Mathematical constants and numbers

edited bySimon PlouffeAssociate ProfessorLaCIM, University of Quebec at Montrealhttp://www.lacim.uqam.ca/pi : Plouffe's Inverterplouffe@math.uqam.ca

The first 498 Bernoulli numbers are the coefficientsof 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

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