Asymptotics about A005228

Maximilian Hasler maximilian.hasler at gmail.com
Tue Jun 3 17:56:31 CEST 2008


>Let f = A005228, and let g = complement of f.
>    [4]  f' = g     [corrected]

I admit that I did not follow earlier discussion about this sequence,
maybe someone already made a more refined analysis
and I may be completely wrong....
but at a first glance, it seems obvious to me that g(x) ~ x
(since f grows much faster, the possibilities taken away by f are negligible)
and thus f(x) ~ x^2/2.

Maximilian





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