Sometimes the lowercase b_{n} is used in order to distinguish these from the Bell numbers.
The first eleven Bernoulli numbers are listed below.
n  B_{n} 

0  1 
1  1/2 
2  1/6 
3  0 
4  1/30 
5  0 
6  1/42 
7  0 
8  1/30 
9  0 
10  5/66 
One can calculate the Bernoulli numbers using the following recursive formula.
It turns out that B_{n} = 0 whenever n is odd and n ≥ 3.
The Bernoulli numbers appear in the Taylor series expansion of the tangent and hyperbolic tangent functions, in the EulerMaclaurin formula, and in expressions of certain values of the Riemann zeta function.
Search Encyclopedia

Featured Article
