The first 498 Bernoulli Numbers* #22 in our series of math pot

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Title: The first 498 Bernoulli NumbersEditor: Simon Plouffe

April, 2001 [Etext #2586]

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edited by Simon Plouffe Associate

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The first 498 Bernoulli numbers are thecoefficients 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(28) -23749461029/870Bernoulli(30) 8615841276005/14322Bernoulli(32) -7709321041217/510Bernoulli(34) 2577687858367/6

Bernoulli(36)

-26315271553053477373/1919190Bernoulli(38) 2929993913841559/6

Bernoulli(40)

-261082718496449122051/13530Bernoulli(42)

1520097643918070802691/1806

2479392929313226753685415739663229/870

Bernoulli(100)

-94598037819122125295227433069493721872702841533066936133385696204311395415197247711/33330

Bernoulli(102)

3204019410860907078243020782116241775491817197152717450679002501086861530836678158791/4326

Bernoulli(104)

-319533631363830011287103352796174274671189606078272738327103470162849568365549721224053/1590

Bernoulli(106)

36373903172617414408151820151593427169231298640581690038930816378281879873386202346572901/642

Bernoulli(108)

Bernoulli(110)

7645992940484742892248134246724347500528752413412307906683593870759797606269585779977930217515/1518

Bernoulli(112)

-2650879602155099713352597214685162014443151499192509896451788427680966756514875515366781203552600109/1671270

Bernoulli(114)

21737832319369163333310761086652991475721156679090831360806110114933605484234593650904188618562649/42

Bernoulli(116)

-309553916571842976912513458033841416869004128064329844245504045721008957524571968271388199595754752259/1770

Bernoulli(118)

Bernoulli(120)

-51507486535079109061843996857849983274095170353262675213092869167199297474922985358811329367077682677803282070131/2328255930

Bernoulli(122)

49633666079262581912532637475990757438722790311060139770309311793150683214100431329033113678098037968564431/6

Bernoulli(124)

-95876775334247128750774903107542444620578830013297336819553512729358593354435944413631943610268472689094609001/30

Bernoulli(126)

5556330281949274850616324408918951380525567307126747246796782304333594286400508981287241419934529638692081513802696639/4357878

Bernoulli(128)

Bernoulli(130)

1928215175136130915645299522271596435307611010164728458783733020528548622403504078595174411693893882739334735142562418015/8646

Bernoulli(132)

-410951945846993378209020486523571938123258077870477502433469747962650070754704863812646392801863686694106805747335370312946831/4206930

Bernoulli(134)

264590171870717725633635737248879015151254525593168688411918554840667765591690540727987316391252434348664694639349484190167/6

Bernoulli(136)

-84290226343367405131287578060366193649336612397547435767189206912230442242628212786558235455817749737691517685781164837036649737/4110

Bernoulli(138)

Bernoulli(140)

-3289490986435898803930699548851884006880537476931130981307467085162504802973618096693859598125274741604181467826651144393874696601946049/679470

Bernoulli(142)

14731853280888589565870080442453214239804217023990642676194878997407546061581643106569966189211748270209483494554402556608073385149191/6

Bernoulli(144)

-3050244698373607565035155836901726357405007104256566761884191852434851033744761276392695669329626855965183503295793517411526056244431024612640493/2381714790

Bernoulli(146)

4120570026280114871526113315907864026165545608808541153973817680034790262683524284855810008621905238290240143481403022987037271683989824863/6

Bernoulli(148)

Bernoulli(150)

463365579389162741443284425811806264982233725425295799852299807325379315501572305760030594769688296308375193913787703707693010224101613904227979066275/2162622

Bernoulli(152)

-3737018141155108502105892888491282165837489531488932951768507127182409731328472084456653639812530140212355374618917309552824925858430886313795805601/30

Bernoulli(154)

10259718682038021051027794238379184461025738652460569233992776489750881337506863808448685054322627708245455888249006715516690124228801409697850408284121/138

Bernoulli(156)

-81718086083262628510756459753673452313595710396116467582152090596092548699138346942995509488284650803976836337164670494733866559829768848363506624334818961419869/1794590070

Bernoulli(160)

-4240860794203310376065563492361156949989398087086373214710625778458441940477839981850928830420029285687066701804645453159767402961229305942765784122421197736180867/230010

Bernoulli(162)

1584451495144416428390934243279426140836596476080786316960222380784239380974799880364363647978168634590418215854419793716549388865905348534375629928732008786233507729/130074

Bernoulli(164)

-20538064609143216265571979586692646837805331023148645068133372383930344948316600591203926388540940814833173322793804325084945094828524860626092013547281335356200073083/2490

Bernoulli(168)

-13844828515176396081238346585063517228531109156984345249260453934317772754836791258987516540324983611569758649525983347408589045734176589270143058509026392246407576578281097477/3404310

Bernoulli(170)

195334207626637530414976779238462234481410337350988427215139995707346979124686918267688171536352650572535330369818176979951931477427594872783018749894699157917782460035894085/66

Bernoulli(172)

-11443702211333328447187179942991846613008046506032421731755258148665287832264931024781365962633301701773088470841621804328201008020129996955549467573217659587609679405537739509973/5190

Bernoulli(176)

-1369347910486705707645621362512824332220360774476594348356938715366608044588614657557436131706543948464159947970464346070253278291989696390096800799614617317655510118710460076077638883999/1043970

Bernoulli(178)

1124251816617941290026484851206299982774720467712867275292043701618829826708395745459654170718363182143418314514085426692857018428614935412736063946853033094328968069656979232446257101741/1074

Bernoulli(180)

-6173136454016248924640522272263470960199559328290655337530202055853397791747341312347030141906500993752700612233695954532816018207721731818225290076670213481102834647254685911917265818955932383093313/7225713885390

Bernoulli(184)

-857321333523056180131194437347933216431403305730705359015465649285681432317514010686029079324479659634642384809061711319481020030715989009140595170556956196762318625529645723516532076273012244047/1410

Bernoulli(186)

22258646098436968050639602221816385181596567918515338169946670500599612225742487595012775838387331550474751212260636163500086787417640903770807353228157478339547041472679880890292167353534100797481/42

Bernoulli(188)

-14158277750623758793309386870401397333112823632717478051426522029712001260747920789473711562165031101665618225654329210473605281619696918061316240634857984019071572591940586875558943580878119388321001/30

Bernoulli(192)

-346465752997582699690191405750952366871923192340955593486485715370392154894102000406980162521728492501917598012711402163530166516991115122131398542029056286959857727373568402417020319761912636411646719477318166587/868841610

Bernoulli(194)

2269186825161532962833665086968359967389321429297588337232986752409765414223476696863199759981611817660735753831323900456495253961837175924312108872915089534970310604331636484174526399721365966337809334021247/6

Bernoulli(196)

-62753135110461193672553106699893713603153054153311895305590639107017824640241378480484625554578576142115835788960865534532214560982925549798683762705231316611716668749347221458005671217067357943416524984438771831113/171390