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 498 Bernoulli numbers are the coefficients 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(6) 1/42

Bernoulli(8) -1/30

Bernoulli(10) 5/66

Bernoulli(12) -691/2730