The First 1000 Euler Numbers(txt+pdf+epub+mobi电子书下载)


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The First 1000 Euler Numbers

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******Project Gutenberg Etext The first 1000 Euler numbers****** #20 in our series of math constants

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Title: The first 1000 Euler numbers

Editor: Simon Plouffe

April, 2001 [Etext #2584]

******Project Gutenberg Etext The first 1000 Euler numbers************This file should be named 2584.txt or 2584.zip******

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

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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 plouffe@math.uqam.ca

The first 1000 Euler numbers as defined by

2/(exp(t)+exp(-t)) = sum(exp(n)/n!*t^n, n = 0..infinity)

are the coefficients of the series expansion.

Euler(0) 1

Euler(2) -1

Euler(4) 5

Euler(6) -61

Euler(8) 1385

Euler(10) -50521

Euler(12) 2702765

Euler(14) -199360981

Euler(16) 19391512145

Euler(18) -2404879675441

Euler(20) 370371188237525

Euler(22) -69348874393137901

Euler(24) 15514534163557086905

Euler(26) -4087072509293123892361

Euler(28) 1252259641403629865468285

Euler(30) -441543893249023104553682821

Euler(32) 177519391579539289436664789665

Euler(34) -80723299235887898062168247453281

Euler(36) 41222060339517702122347079671259045

Euler(38) -23489580527043108252017828576198947741

Euler(40) 14851150718114980017877156781405826684425

Euler(42) -10364622733519612119397957304745185976310201

Euler(44) 7947579422597592703608040510088070619519273805

Euler(46) -6667537516685544977435028474773748197524107684661

Euler(48) 6096278645568542158691685742876843153976539044435185

Euler(50) -6053285248188621896314383785111649088103498225146815121

Euler(52) 6506162486684608847715870634080822983483644236765385576565

Euler(54) -7546659939008739098061432565889736744212240024711699858645581

Euler(56) 9420321896420241204202286237690583227209388852599646009394905945

Euler(58) -12622019251806218719903409237287489255482341061191825594069964920041

Euler(60) 18108911496579230496545807741652158688733487349236314106008095454231325

Euler(62) -27757101702071580597366980908371527449233019594800917578033782766889782501

Euler(64) 45358103330017889174746887871567762366351861519470368881468843837919695760705

Euler(66) -788628420666178941810072074223999042394781629720037689327097574948571679453769 61

Euler(68) 1456184438013963150071504700949423266618608128583149329864476977680645954888629 02085

Euler(70) -285051783223697718732198729556739339504255241778255239879353211106980427546235 397447421

Euler(72) 5905747207775443654551350322964395713720330161818229549297659721536598050502645 01891063465

Euler(74) -129297366418786417049760323593869875407617051912367260641137059734378703533180 8195731850937881

Euler(76) 2986928183284576950930743652217140605692922369370680702813812833466898038172015 655808960288452845

Euler(78) -727060171401686414380328065169928185164723428804920790510830958368733568801764 1546191095009395592341

Euler(80) 1862291575841269704448249230304312601192001019451855606357710109568195612354620 1442832293837005396878225

Euler(82) -501310494081097966129086936788810094200833367222205397659735962365615714011546 99761552253189084809951554801

Euler(84) 1416525575978562599167220694100216704054758454928379123907001468453745679943908 44977125987675020436380612547605

Euler(86) -419664316404024471322573414069418891818962628391683907039212228549032921853217 838146608053808786365440570254969261

Euler(88) 1302159590524046398125858691330818681356757613986610030678095758242404286633729 262297123677199743591748006204646868985

Euler(90) -422724068613990906470558992921459310293384538867236908267664454265024822836959 0525634078984302153217507945782396923579721

Euler(92) 1434321279197658340613368264057856585857988214884315911110657495550979019681261 8254848857854461550714631444034921517907250365

Euler(94) -508179907245804251645597576430907360034824356715134139268132398868282108762470 74897752122164140484881907534297068189565042330181

Euler(96) 1878332936452930264020075791841798925390014449970053616370808701168236426457556 01678579681159136078780812233831035373097528077899745

Euler(98) -723653438103385777657187661736782292986259565181067232760712431055015669043224 647591792236141452770950810842191949814198134897708964641

Euler(100) 2903528346661097497054603834764435875077553006646158945080492319146997643370625 023889353447129967354174648294748510553528692457632980625125

Euler(102) -121229373789292182105392954978560988076958804569253598783740312520514253248029 83023259164661895562465602169682143385407744646483057903979627101

Euler(104) 5263064249616990706002240735842366613920044251807384350540494044980000330206312 7338662338497391497609499419661748773660506383501215821938795634505

Euler(106) -237407307193676634703461698760652651633454428419287776842645279528164787872297 417395385346705721704571478255056084593759586258920375695854688654461561

Euler(108) 1111890094248282302497023358817578932825829534468708403452929407174064284980244 814331727650672071012464829426226669534375777258933146494169710719722335885

Euler(110) -540307865979529320561911549426347699047488271829642019740851601024981471184596 3278802717760330206627628886347827381068652979312079075986736179581399343212021

Euler(112) 2722341085572227021371534144589095489115019245256446700836600591112665849009431 1265116229345791312467273661582061462389296672527429047120477605834230481160137 265

Euler(114) -142130105480096698118085204572231882248930706699532629917096701279605797073330 0193420694861233133071580776905678286530380083228711135147775762116515392047442 50822481

Euler(116) 7684261820646902653170956283666477936401201077337276440867042054084755382727703 9764721236896168602146639689383278909528067067756198983533427111053401493015019 2489246645

Euler(118) -429962192543974964281889033648632755023029618365105708353662336035433477142572 9606583055234978935336116864465814878673654837862352124705254397361106883186269 500698123036941

Euler(120) 2488391574782987163169024554084894082372867090709081405554999685301842243985725 5460434636907179279971030115914025391078487144429408300462747699810654037377064 816073847531472025

Euler(122) -148875820890620408401048810913362395915478793564083833973207237459816306501767 3437961407937370972063982173848613791914224698342069183456168046391916573702764 70685113028113791999401

Euler(124) 9202614118852094188408641265603127093031889487547863967912152226531497316634323 4710065932325733065782421453172396520056582972848435444352362614001738685651579 9079310476245590771021405

Euler(126) -587424445729243560747806550051798443021167471816291737900437787304401714492617 1891266074084469461144112736852192606411496471264275390680348174759064256336391 461933148218214049172761853861

Euler(128) 3870133554175927248997261253394657996135236555352376873807213561817750424463354 6143840403169376492579607451638909625298032991497065209765804220290008687022549 327267049867240582378815415302785

Euler(130) -263038464627282201918918005755736144830032766236489151905754681577981916252171 3163549731054866937428402160413448019905448259024364158637971156671598636132395 97675722668781930227771509440274344321

Euler(132) 1843421861906816432167393181032769665893649202553086673267697133400715329732610 5351321570604894166157300576312368494202776235442233084060501500497993865589828 51267671436620884430088317515295375724165

Euler(134) -133150076083199759777989619061195919484099919943601827708489720974472010154454 7311021782545768512626817396886195216273699835181992405054332467497764550402207 6111979662987053574616656318380157138294414781

Euler(136) 9907734079464099702757199415941481435276615744818831540764157213520537243353423 6192424515676072423075561333548313166135347683467200999487267074099854449273061 324576815951156531081456210665221369757248493545

Euler(138) -759161615376086554230567716763177263596944504514401890020970373192868465823452 7975519108458550117015318722304966435020878216327080424857359733188580273658535 86062132254080496505748002294983034498658913855809241

Euler(140) 5987386904215954780609340300928990507458814865030864762440959127489603790251637 1457496046265346620687047641484701300696415968818373757118692404207454980891098 37751540966769902924250247702626992182004595330375418925

Euler(142) -485853153680527007166022567445774338810853024993826639008363599580539783346795 2167849923591086254792336752265269357712076067766307409839160965555598166683213 7542638488228486996579524820945684901178997088057060206671701

Euler(144) 4054747377507914554646805353085847100041019291695639054676384051997071405218270 0488593248719419631138462984208448307621954085295456697538730673082421415038783 6999985900790862094369844554013935010614141726715992833064708305

Euler(146) -347892371339090601415585327133292340354109020392931144889915571412781558286178 9055632949031284778695873663565420214533346695135750726198835095396041501642366 149906765137230219951898327177614490241412422254951219744444195146161

Euler(148) 3067497388251084894491443574794611608322089941295557078533078212508585082299427 5592137937387166344104853428704382523982556306276256496841127419594437788971414 267195014927164088859438013568143250274310527345494536583779461051769685

Euler(150) -277857404780457414987248665136951661385802997430099285750035845293762404084709 9694340168703894300000910549144080447484635352908717766262291950613845156135831 89227656542091580147189163312909279754107124154692415552717409356305334976621

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