[seqfan] Re: Maximal number of touching points between unit spheres

[Felix Fröhlich]

Okay, thanks for the pointer to the paper.

I guess I have to think a bit more about this sequence before it is ready.
I would like to have solid proofs for the correctness of the terms and be
sure that it is different from both A008486 and A214813 before I consider
submitting this.

Best regards
Felix



2018-02-28 6:07 GMT+01:00 M. F. Hasler <seqfan at hasler.fr>:

> Felix,
> For n=10 you get at least a(n-1)+4 >= 25,
> see figure 1 in the Bezdek & Khan preprint cited in A214813.
> - Maximilian
>
>
>
>
> On Tue, Feb 27, 2018 at 11:55 AM, Felix Fröhlich <felix.froe at gmail.com>
> wrote:
>
> > Dear SeqFans,
> >
> > I had the idea for the following sequence:
> >
> > Maximal total number of touching points between n unit spheres.
> >
> > With offset 2, I get the following terms:
> >
> > 1, 3, 6, 9, 12, 15, 18, 21, 24
> >
> > 1) Can someone with more knowledge of the subject confirm these terms?
> > 2) Can someone confirm that this is different from A214813?
> > 3) Can someone confirm that this is the same as A008486?
> >
> > Regarding 2), see second comment in A214813. Regarding 3), there is a
> > comment by Sergey Pavlov from Feb 03 2017 in A008486 that may be related
> to
> > this, but I am not sure about it.
> >
> > So, is this already in the OEIS?
> >
> > Best regards
> > Felix
>
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