قراءة كتاب The First 1000 Euler Numbers
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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 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)