[seqfan] Re: fractal sequences

[Antti Karttunen]

Nice idea. The image resembles some of my own "Queens/Dragons" concoctions like
http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A065256
which was inspired by John Layman's
http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A048647
with a link to its associated fractal image:
http://www.math.vt.edu/people/layman/sequences/sequences.htm


So, if Neil is thinking about a separate "shower-script" for "cons" constants,
then why not create also a shower-script for showing any sequence as a simple
"k -> a(k)" graph, using ascii art like below, or on-the-fly generated gifs, jpegs or png's?
Then for the permutations of integers the corresponding graph/image
would show the associated permutation matrix (or one might also think
it as an adjacency matrix of the cycle graph), with the dots corresponding
to 1's of the matrix.


Terveisin,

Antti

> wouter meeussen wrote:
> 
> dear Ralf et al.
> 
> hmm,
> a bit more than that : the sequences in  http://www.research.att.com/~njas/sequences/selfsimilar.html
> are 1-dimensionally fractal, in a sawtooth fashion ;
> these are lines with wrigles that repeat copies on ever larger scales.
> 
> I was looking at 2D stuff like below : both sequence term a(k) and index k together:
> (ascii-art follows, use courrier font)
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> _________________________________________________________________
> 
> Wouter.