The First 1000 Euler Numbers

579 1 0
                                        

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

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⏰ Last updated: Jan 06, 2007 ⏰

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