[seqfan] Re: "OEIS Sampler" handouts for San Diego Meeting

Neil Sloane njasloane at gmail.com
Thu Dec 20 22:02:13 CET 2012


Kevin, I don't see how your drawings are related to the toothpicks.
For concreteness, let's look at Omar's drawings
of the initial terms, shown here:

http://www.polprimos.com/imagenespub/poltp4d4.jpg

What would your corresponding figures look like?

Neil

On Wed, Dec 19, 2012 at 7:25 PM, Kevin Ryde <user42 at zip.com.au> wrote:

> njasloane at gmail.com (Neil Sloane) writes:
> >
> > New and Noteworthy Sequences in the OEIS.
>
> As a suggestion for the toothpicks, perhaps a picture of the tree
> structure, the way each toothpick has 0, 1 or 2 children.  I tried a
> single quadrant (as per A153000)
>
>     http://user42.tuxfamily.org/temporary/toothpick-lines.png
>
> or with blobs at each point
>
>     http://user42.tuxfamily.org/temporary/toothpick-dots.png
>
> Lines alone seem clearer once you know what you're looking at :-).
> Could highlight the middle two points which is where the symmetry
> pivots.
>
> The tree doesn't have the nice canals and joined lines of the
> full-length toothpicks, but it illustrates how power-of-2 quarters are
> traversed and hence some of the formulas like total(2^(k+1)) =
> 4*total(2^k) + 2.
>
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>
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>



-- 
Dear Friends, I have now retired from AT&T. New coordinates:

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



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