writer needs sequences

N. J. A. Sloane njas at research.att.com
Fri Feb 21 14:25:53 CET 2003


Dear Seqfans,   Someone just wrote to me
with the following request.  It seems that what he needs
is someone with access to Maple or Mma or PARI to generate
several hundred terms of some elementary sequences for him.

An easy task that might be fun.  Anyone care to help him?
NJAS

>From laurentdorey at wanadoo.fr  Thu Feb 20 21:10:44 2003
>Delivered-To: njas at research.att.com
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>Date: Fri, 21 Feb 2003 03:10:39 +0100 (MET)
>From: "laurent dorey" <laurentdorey at wanadoo.fr>
>To: <njas at research.att.com>
>Subject: special request
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>
>Mr sloane
>
>I recently surfed the web with the aim of finding numericals sequences and spent hours enjoying your site. I thought it was the most complete site on the sequences topic, this is the reason why I adress you this mail. 
>The way I find interess about sequences is rather specific : I have, unfortunately, no mathematical or even scientific formation at all. I deal with litterature and theatre, and the scientific background your work suppose from the visitor is very far from the frange of my comprehension, so you can imagine that my exploration of your site is quite obscure, yet fascinating.
>The use I would like make of numerical sequences is to settle them as fondations of texts, of many ways, from the micro-scale of a motif, or a narratif element, or a definition of a character, settings, etc., to the macro-scale of the events of a dramatic plot.
>Some kind of alternative to the free permutation system I use sometime in my work, or litterature with mathematical structure assistance.
>What is usefull to me is the numbers of the sequences. The formula is to complicated for me to devellop (I tried Mathematica : it's too hard ! I can't understand even 5 per cent of the symbols, and I have no time to become skilled enough to deal with it, I would need another life !)
>Unfortunately the sequences showns in your site are developped in numbers to shortly for me to use them, or to feel their behaviour. I understand that from your point of view a formula concentrating the sequence is more interresting than three pages of numbers following each other, but this is precisely what I am looking for !
>I can give you an example of the kind of things I am looking for : I did this one last week
>
>
>
>-01-02-03-04-05-06-07-08-09-10-01-03-07-05-01-03-10-01-03-07-05-01-03-10-01-04-09-09-09-09-08-07-05-06-03-07-02-05-01-05-01-03-07-05-01-04-03-03-07-02-07-09-09-09-08-05-01-03-10-01-04-09-08-07-02-05-06- and so on...
>   ***************************************+02+04+08+06+02+07+01+02+04+08+06+02+07+01+03+05+10+10+10+09+09+08+01+07+04+05+03+06+04+06+02+04+08+06+03+09+10+04+05+05+02+10+10+09+07+06+02+07+01+03+05+09+09+05+03+01+07+ and so on...
>
>
>
>
>
>I got two pages like this. I enjoy them but I made it manually on microsoftwords, calculating with my head, and it costed me three days, which is a too great amount of time regarding my "real" works.
>
>(By the way, writting this I realized that I didn't check to see if that "sequence" was in your catalogue,and I didn't found it. So, although it was not my design, I will try to demonstrate it to you, using my non-mathematical vocabulary (hem...)
>
>Looking at the top line first (the one with no + sign), I first took a simple serie from 01 to 10, then started to continue another one but added this rule : From the point of the second 01, the value of the next number is determined by adding this number to the number at the right of the former occurence of this first number in the line : 01 was followed by 02, so 01+02 then 03 is the next number. 03 was followed by 04, so 03+04 then 07 is the next number. etc...
>Then I noticed that a second sequence could be found by writting the numbers added to construct the first sequence : this corresponds to the bottom line (the one with the + signs), starting at the second 01 of the first serie)
>
>Because of the fact that I feel unable to developp sequences from formulas, I need series of several hundreds numbers. I am specially interressed in series that turns to loops after a while, or series that goes backwards and close themselves like they started (like a mirror in the middle of them). 
>
>So how could I manage to get some ?
>
>Can you give me some clues ?
>
>Thank You.
>
>Laurent Dorey
>
>P.S. Exscuse me for the surely dull english, for the highly probable misuse of mathematical vocabulary, and for the topography of the page, I do not understand the translation between mac and PC
>





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