[seqfan] Re: need help with sequences from paper by Weiss 2015
Hugo Pfoertner
yae9911 at gmail.com
Wed Aug 17 03:00:37 CEST 2016
The sequence to be compared against M. Weiss' sigma(n) (now
http://oeis.org/A275817), is http://oeis.org/A183162, not A183163. There is
a simple relation between the two sequences:
if ( n=k^2-1, k>0 ) then
A275817(n)=2*k
A183162(n)=1
else
A275817(n)=A183162(n).
A183162(0)=1 should be added to the sequence.
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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