Part 1

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