[seqfan] Re: need help with sequences from paper by Weiss 2015

[Hugo Pfoertner]

Neil, SeqFans,

I've put the values of sigma into a new sequence
https://oeis.org/draft/A275817

Least positive integer s such that an integer square k^2 lies between s^2*n
and s^2*(n+1), with s^2*n<k^2<s^2*(n+1).

The corresponding values of k are in https://oeis.org/draft/A275818

Regards

Hugo Pfoertner

On Tue, Aug 9, 2016 at 9:46 PM, Neil Sloane <njasloane at gmail.com> wrote:

> Dear SeqFans, Take a look at this paper:
>
> Michael Weiss, <a href="http://arxiv.org/abs/1510.07362">On the
> Distribution of Rational Squares</a>, arXiv:1510.07362 [math.NT], 2015.
>
> The main sequence, sigma(n), seems to be missing from the OEIS (he says it
> is different from A183163). Could someone enter it? And also the lower
> bound function sigma_1(n). And also give b-files for them.
>
> The graphs that he shows for these functions look pretty nice!
>
> Also A183162 needs a b-file.
>
> There may be other sequences in the later sections that
> could also be added to the OEIS.  This is a very interesting paper, about
> some fundamental number theory questions.
>
> Best regards
> Neil
>
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