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Results tagged with asymptotics
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user 1907
Asymptotic behavior of functions, asymptotic series and related topics
14
votes
1
answer
696
views
Are the asymptotics of A003238 known?
log(a(n))$ is asymptotic to $c \log(n)^2$ where $0.4 < c < 0.5$ (Benoit Cloitre, Apr 13 2004)
What I'm interested in is both the state of this conjecture, and more generally, methods for analysing the asymptotics … of sequences defined by ``similar'' recurrences - either globally (as above) or in the average sense i.e. asymptotics of things like $(1/n)\sum_{i=1}^n a(n)$. …
- 1,305
7
votes
1
answer
455
views
More asymptotics for trees
This is a follow up to my recent question on the asymptotics of A003238. … So, what are the asymptotics of $S$? …
- 1,305
3
votes
More asymptotics for trees
I'd like to promote Lucia's comment to an answer if I could but apparently I can't. I'll just fill in a few of the details. The basic idea is to pretend that $S(x) = C x^{\alpha}$. Plug in to the recu …
- 1,305