[seqfan] Re: Nice new seq needs a formula

[Neil Sloane]

The new sequence that I mentioned , A306302(n),
appears to equal n + (A114043(n)-1)/2, and A114043 has an explicit formula
due to Max Alekseyev.  The two sequences A306302 and A114043
are sufficiently similar that it should not be hard to find a proof.

(Thanks to Superseeker for the hint).


Best regards
Neil

Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com



On Thu, Feb 7, 2019 at 1:26 PM Hugo Pfoertner <yae9911 at gmail.com> wrote:

> Links to available literature for this problem are given in
> http://oeis.org/A288177
> http://oeis.org/A306302 is part of the triangle http://oeis.org/A288187
> If more terms can be found - fine, but we shouldn't re-invent the reseach
> done by Pfetsch, Ziegler and others 15 years ago.
>
> Hugo Pfoertner
>
> On Thu, Feb 7, 2019 at 7:16 PM Neil Sloane <njasloane at gmail.com> wrote:
>
> > PS and what about the numbers of vertices (including both boundary points
> > and interior intersection points)?
> >
> >
> > On Thu, Feb 7, 2019 at 1:09 PM Neil Sloane <njasloane at gmail.com> wrote:
> >
> > > No of regions in a strip of rectangles:  A306302
> > >
> > > Given enough terms, will probably be guessable
> > > 4, 16, 46, 104, 214 is not enough
> > >
> > >
> > >
> >
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>
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