Euler numbers

Euler numbersDlmfDlmfPlanetmathPlanetmath En have the generating function 1coshx such that


They are integers but have no expression for calculating them.  Their only are that the numbers with odd index ( are all 0 and that

sgn(E2m)=(-1)m  form=0, 1, 2,

The Euler number have intimate relation to the Bernoulli numbersDlmfDlmfMathworldPlanetmathPlanetmath.  The first Euler numbers with even index are

Title Euler numbers
Canonical name EulerNumbers
Date of creation 2014-12-02 17:43:40
Last modified on 2014-12-02 17:43:40
Owner pahio (2872)
Last modified by pahio (2872)
Numerical id 11
Author pahio (2872)
Entry type Definition
Classification msc 11B68
Related topic GudermannianFunction
Related topic BernoulliNumber
Related topic InverseGudermannianFunction
Related topic HermiteNumbers