# Euler number Calculator

## Calculates a table of the Euler numbers En.

 Calculates only Eeven, because of Eodd=0.
 index n : 〜 ≦100
 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt
 $\normal Euler\ number\ B_n\\[10](1)\ {\large\frac{1}{cosh(x)}}={\large\frac{2}{e^x+e^{-x}}}={\large\sum_{\small n=0}^ {\small\infty}\frac{E_n}{n!}}x^n\\\hspace{60}=E_0+{\large\frac{E_1}{1!}}x+{\large\frac{E_2}{2!}}x^2+...+{\large\frac{E_n}{n!}}x^n+...\\[10](2)\ E_{2n}=i{\large\sum_{\small k=1}^ {\small 2n+1}\sum_{\small j=0}^ {\small k}}{}_kC_j{\large\frac{(-1)^j(k-2j)^{2n+1}}{2^k i^k k}}\\[10]\hspace{30} E_{2n+1}=0\hspace{15}for\ n=1,2,...\\[10](3)\ E_0=1,\ E_2=-1,\ E_4=5,\ E_6=-61,\ ...\\$

Sending completion

To improve this 'Euler number Calculator', please fill in questionnaire.
Male or Female ?
Male Female
Age
Under 20 years old 20 years old level 30 years old level
40 years old level 50 years old level 60 years old level or over
Occupation
Elementary school/ Junior high-school student
High-school/ University/ Grad student A homemaker An office worker / A public employee
Self-employed people An engineer A teacher / A researcher
A retired people Others
Useful?
Very Useful A little Not at All
Purpose of use?