# 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:

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

where $\size x < \dfrac \pi 2$.

## Subcategories

This category has only the following subcategory.

## Pages in category "Euler Numbers"

The following 10 pages are in this category, out of 10 total.

### S

- ProofWiki:Sandbox
- Sum of Euler Numbers by Binomial Coefficient
- Sum of Euler Numbers by Binomial Coefficients Vanishes
- Sum of Euler Numbers by Binomial Coefficients Vanishes/Corollary
- Sum of Reciprocals of Odd Powers of Odd Integers Alternating in Sign
- Sum of Reciprocals of Odd Powers of Odd Integers Alternating in Sign/Corollary