When (d(n+1)-d(n))*(-1)^n is positive (d(n) = A000005(n))

[Maximilian Hasler]

>  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