Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Wedderburn–Etherington number
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
==Growth rate== The Wedderburn–Etherington numbers grow [[asymptotic analysis|asymptotically]] as :<math>a_n \approx \sqrt{\frac{\rho+\rho^2B'(\rho^2)}{2\pi}} \frac{\rho^{-n}}{n^{3/2}},</math> where ''B'' is the [[generating function]] of the numbers and ''ρ'' is its [[radius of convergence]], approximately 0.4027 {{OEIS|A240943}}, and where the constant given by the part of the expression in the square root is approximately 0.3188 {{OEIS|A245651}}.<ref>{{citation | last = Landau | first = B. V. | issue = 2 | journal = [[Mathematika]] | mr = 0498168 | pages = 262–265 | title = An asymptotic expansion for the Wedderburn-Etherington sequence | volume = 24 | year = 1977 | doi=10.1112/s0025579300009177}}.</ref>
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)