Category:Euler Numbers

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This category contains results about Euler Numbers.
Definitions specific to this category can be found in Definitions/Euler Numbers.


The Euler Numbers $E_n$ are a sequence of integers defined by the exponential generating function:

$\displaystyle \operatorname {sech} x = \frac {2 e^x} {e^{2 x} + 1} = \sum_{n \mathop = 0}^\infty \frac {E_n x^n} {n!}$

where $\left\lvert{x}\right\rvert < \dfrac \pi 2$.