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Self-describing the digits

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eric.angelini

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Nov 23, 2009, 11:21:32 AM11/23/09
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Hello Rec.Puzzlers,
does someone have the time/patience/skills
to answer the last remark, bottom of page:
http://www.cetteadressecomportecinquantesignes.com/DigitPosition.htm
Thanks,
É.

Philippe 92

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Nov 24, 2009, 1:31:47 PM11/24/09
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eric.angelini wrote :
> ᅵ.

Hi,

After a few trials (and attempts to understand the obscure
statements of the sequences ;-)

I got a S'1 sequence :
1,3,10,6,11,7,21,13,15,17,19,101,24,100,29,102,34,103,39,104,44,...

Note the 'backward' index, at a(6) = 7, indexing a '1' before it !
so that the a(5) = 11 has been choosen ... because this *next*
a(6) = 7 works !
That is when choosing the 11, we have to anticipate and find what
are the possible *next* terms.

Because of this, I was not able to write a *simple* program.
The above sequence was done by hand, and miracles do happen.
For instance I reached a(41) = 91 which describes its own 1 !
(and is smaller than the next free digit index = 92)

Regards

--
Philippe C., mail : chephip, with domain free.fr
site : http://mathafou.free.fr/ (mathematical recreations)


eric.angelini

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Nov 27, 2009, 9:37:49 AM11/27/09
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On 24 nov, 19:31, "Philippe 92" <nos...@free.invalid> wrote:
> sequence was done by hand, and miracles do happen.

... Hello Philippe,
many, many thanks for your efforts !
But I have the same pb : I work "by hand" as you do !
I'm looking for a pgm where you could turn the variable 'k'
into zero, one, two, three... nine -- and get the required
seq...
Best,
É.

Philippe 92

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Nov 27, 2009, 12:29:32 PM11/27/09
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eric.angelini wrote :

Hi,

For information, this question has also been asked on fr.sci.maths
and "zwim" has written a program in C.
For the lurkers here :

<http://cjoint.com/data/lziF7iw5kl.htm>

Regards.

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