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Bernoulli number

The Bernoulli numbers (B_n) are often used in the development of power series

 

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Explanation

It is an extensive matter, which has a lot to mean in number theory. Here we give a small insight into it. We know the power series for the tangent

and for the secant

If we add those power series together, we see the Bernoulli numbers

 

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History The Swiss mathematician Jakob Bernoulli (1654 - 1705) described the existence of a single series of constants B0, B1, B2, ... that provides a uniform formula for power series.

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