[seqfan] Re: Notation problem?

Hugo Pfoertner yae9911 at gmail.com
Mon Sep 25 14:01:50 CEST 2017


Veikko, SeqFans,

if the graph function doesn't provide the appropriate resolution or if
there is a structure that becomes only visible if much more terms than the
limit of 10000 in the graph function would be displayed, than my preferred
workaround is to include tailored plots together with the sequence. This
may either be pdfs which allow to zoom into details (for an example see
https://oeis.org/A136608 , zoom into top cusp), or pixel graphics (e.g. in
png format), if the number of of graphic elements in a full-resolution plot
would lead to multi-Megabyte file sizes of a pdf. In a tailored plot one
can either show the "big picture", e.g. for 10^9 terms or zoom into
interesting regions.
For some examples look at my plots in the palindrome-related sequences
https://oeis.org/A035137 (Overview of 10^6 terms), https://oeis.org/A260254
(10^6, 3*10^7 terms) or https://oeis.org/A261132 (3rd plot zooms into
details otherwise invisible in the overall picture).

If there are interesting details far beyond the "normal" size of 10000
elements in a b-file, uploading a bigger file, say e.g. 100000 terms in the
same format, but giving it a different name (axxxxx.txt) and putting a link
into the link section is also accepted.

Hugo Pfoertner

On Mon, Sep 25, 2017 at 9:35 AM, Veikko Pohjola <veikko at nordem.fi> wrote:

> Dear seqfans,
>
> I’m in the process of submitting a few sequences whose difficult to
> predict features become apparent only when viewed in large, like as a
> graph. The sequences contain long parts composed of simple patterns which
> give no hint about the more dramatic behavior of the whole. Thus, there is
> a kind of representation problem in numeric form.
>
> For instance, one of the sequences starts like this:
> 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10,
> 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
> 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, …,
> There are altogether 1166 tens.
>
> Instead of illustrating the nature of the sequence, as usually, with its
> first two or three hundred terms, a more informative way in this case would
> be to replace the pattern of tens by ..,10,<1164>,10, …, or similar.
> Extending the same notation to other long tautologies, say, longer than 10,
> we would get
> 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 6, 6, 8, 8,10,<1164>,10,
> -27,<35>,-27, -64,<35>,-64,…etc.
> But this type of notation may not be in use in OEIS.
>
> Of course I can leave the sequence as it is and explain its nature in
> Comments. Any suggestions?
>
> Veikko (Pohjola V.J.)
>
>
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>


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