When (d(n+1)-d(n))*(-1)^n is positive (d(n) = A000005(n))
Maximilian Hasler
maximilian.hasler at gmail.com
Sun Mar 2 22:55:06 CET 2008
> He says that the plot looks almost like a
> straight line over-all.
but I stated explicitly that this is not rigorous asymptotics...
> So I wonder, can we determine the limit, as n ->
> infinity, of a(n)/n?
>
> a(999) = 7725.
> So can we say that the limit is in the vicinity
> of 7.7?
no:
a(10^4) = 67796
a(10^5) = 623582
a(10^6) = 5868424
> Maybe the straight-line-ness of the plot changes,
> or the slope changes, however, for much bigger
> n's.
yes : it decreases steadily.
Regards,
Maximilian
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