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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 [email protected]

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)