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Aug 11, 2015 at 10:19 comment added r9m @BrendanMcKay could you explain how we get to the quasi-periodic component, it'd be nice if you elaborate over an answer! Thanks!! :)
Jul 31, 2015 at 13:11 comment added Brendan McKay The solution of $\sum t^{2^i} 2^i=n$ is $t=2^{-R(n)/n}$, where $R(n)$ is a quasi-periodic function that oscillates around $1/\ln(2)^2$ without converging. If I didn't get it wrong. There will be a quasi-periodic component to the asymptotics.
Jul 31, 2015 at 12:39 comment added r9m Indeed I tried Hayman's method but couldn't have an exact asymptotics for $a_n$, (+1) Thanks! :)
Jul 31, 2015 at 12:39 history edited Ofir Gorodetsky CC BY-SA 3.0
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Jul 31, 2015 at 12:25 history answered Ofir Gorodetsky CC BY-SA 3.0