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7.2.9  Bernoulli numbers

The Bernoulli polynomial Bn is defined by:

B0=1,    Bn′(x)=n Bn−1(x),    
1


0
Bn(xdx=0 

The nth Bernoulli number is Bn=Bn(0), and is also given by the formula:

  
t
et−1
=
+∞
n=0
 
B(n)
n!
tn

The bernoulli command computes the Bernoulli numbers.

Example

bernoulli(6)
     
1
42
          

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