## Bernoulli numberA number of the type defined by Jakob Bernouilli in connection with evaluating sums of the form ∑ i ^{k}. The
sequence B_{0}, B_{1}, B_{2},
... can be generated using the formulax/(e^{x} - 1) = ∑(B_{n}
x^{n})/n!
though various different notations are used for them. The first few Bernoulli numbers are: B_{0} = 1, B_{1} = -1/2,
B_{2} = 1/6 , B_{4} = -1/30 , B_{6}
= 1/42 , ... They crop up in many diverse areas of mathematics including
the series expansions of tan x and Fermat's
last theorem. ## Related category• TYPES OF NUMBERS | |||||

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