Mathematical Research Data Initiative
Main page
Recent changes
Random page
SPARQL
MaRDI@GitHub
In other projects
MaRDI portal item
Discussion
View source
View history
Purge
English
Log in

Formula:8123

From MaRDI portal
Jump to:navigation, search

Digital Library of Mathematical Functions ID 24.4.E17

E 2 ⁢ n = 1 - ∑ k = 1 n ( 2 ⁢ n 2 ⁢ k - 1 ) ⁢ 2 2 ⁢ k ⁢ ( 2 2 ⁢ k - 1 ) ⁢ B 2 ⁢ k 2 ⁢ k . Euler-number-E 2 𝑛 1 superscript subscript 𝑘 1 𝑛 binomial 2 𝑛 2 𝑘 1 superscript 2 2 𝑘 superscript 2 2 𝑘 1 Bernoulli-number-B 2 𝑘 2 𝑘 {\displaystyle{\displaystyle E_{2n}=1-\sum_{k=1}^{n}{2n\choose 2k-1}\frac{2^{2% k}(2^{2k}-1)B_{2k}}{2k}.}}


Constraint(s)

Symbols List

  • B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}} :
  • E n Euler-number-E 𝑛 {\displaystyle{\displaystyle E_{\NVar{n}}}} :
  • ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}} :
  • k 𝑘 {\displaystyle{\displaystyle k}} : integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  •  Edit this on Wikidata

Resources that cite this formula

No records found.

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Formula:8123&oldid=11926930"
Tools
What links here
Related changes
Special pages
Printable version
Permanent link
Page information
This page was last edited on 28 January 2024, at 10:02.
Privacy policy
About MaRDI portal
Disclaimers
Imprint
Powered by MediaWiki