[seqfan] Re: Near-linear sequence

[Aai]

It looks like that the list of partial sums of A164349is equal toA10140.

A164349 comment

The proportion of 0's in this sequence converges to a number close to 
0.645059.
On 28-08-14 10:12, Aai wrote:

On 27-08-14 18:39, Charles Greathouse wrote:
> Sequence A101402 appears to be nearly linear. For the first 10,000 terms
> there is a constant k such that |a(n) - kn| < 2 (e.g., take k = 0.355). Can
> anyone prove or disprove that a(n) = kn + O(1) for some constant k? In the
> (likely?) latter case, can another reasonable bound be found, maybe O(log
> n)? I can't even think of a technique that would work here.
>
> I just checked to a million and it looks like the same holds. Here I used k
> = 0.3549419505. Probably going to 10 million would require relaxing the
> bound slightly; already by a million the choice of constant is very
> constrained.
>
> Charles Greathouse
> Analyst/Programmer
> Case Western Reserve University
>
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@@i = Arie Groeneveld