[seqfan] Re: The a(n)th digit of the sequence is visible in a(n).

[Bob Selcoe]

Hi Eric,

Ok, I think I understand what you're doing up to the 100th digit. After the 
100th digit I'm still confused.
Do you mean, generally, that S is the smallest number which fits the 
definition of S?  If so, I think that's a
little different than the meaning of lexico-first permutation (but perhaps
I'm wrong about this).

Why is S = 99, 10, 20... rather than 99, 102...?  or 99, 100...?  The last 
"2" and "0" are in 102.  If the last numbers are irrelevant, then it seems 
to me using 1 instead of 10 could work (but I could also see why it might 
not work, depending on the interpretation of S).

Perhaps you could clarify the constraints on S a bit more??

Cheers,
Bob



--------------------------------------------------
From: "Eric Angelini" <Eric.Angelini at kntv.be>
Sent: Friday, September 26, 2014 9:14 AM
To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
Subject: [seqfan] Re: The a(n)th digit of the sequence is visible in a(n).

>> but why isn't 12 there?
>> Even earlier, 10 should be there,
>
> ... I wanted S to be a permutation of the integers > 0.
>
> If you start S with 1,2,3,4,5,6,7,8,9,10
> you are cursed: the interger 11 will never show in S
> as the 11th digit of S is 0.
>
> Same answer for 12, etc.
> Best,
> É.
>
>
> -----Message d'origine-----
> De : SeqFan [mailto:seqfan-bounces at list.seqfan.eu] De la part de M. F. 
> Hasler
> Envoyé : vendredi 26 septembre 2014 13:42
> À : Sequence Fanatics Discussion list
> Objet : [seqfan] Re: The a(n)th digit of the sequence is visible in a(n).
>
> but why isn't 12 there?
> The 12th digit of S is "1" (also when 13 is preceded or replaced by 12) 
> and "1" is visible in "12" (or rather in a(12) which would certainly be in 
> [10..19]?
> Even earlier, 10 should be there, the 10th digit would in any case be "1"
> and "1" is visible in "10" which then would be a(10)... ?
>
> On Fri, Sep 26, 2014 at 1:50 AM, Eric Angelini <Eric.Angelini at kntv.be>
> wrote:
>
>> Hi Bob,
>> 33 says: the 33rd digit of S is visible in '33'.
>> I've checked -- and indeed, the 33rd digit of S is 3 (the 3 that
>> belongs to < 23 >)
>>
>> Best,
>> É.
>>
>> Catapulté de mon aPhone
>>
>> > Le 26 sept. 2014 à 03:24, "Bob Selcoe" <rselcoe at entouchonline.net> a
>> écrit :
>> >
>> > Hi Eric,
>> >
>> > Not sure why 33 is included - is it a typo or am I misunderstanding
>> > something?
>> >
>> > Cheers,
>> > Bob Selcoe
>> >
>> > --------------------------------------------------
>> > From: "Eric Angelini" <Eric.Angelini at kntv.be>
>> > Sent: Thursday, September 25, 2014 4:37 PM
>> > To: "Sequence Discussion list" <seqfan at list.seqfan.eu>
>> > Subject: [seqfan] The a(n)th digit of the sequence is visible in a(n).
>> >
>> >>
>> >> Hello SeqFans,
>> >>
>> >>
>> S=1,2,3,4,5,6,7,8,9,11,13,15,17,19,21,22,25,27,29,31,23,33,37,39,41,24,44,47,49,51,53,45,55,59,61,26,46,66,69,71,73,75,67,77,81,28,48,68,88,91,93,95,97,99,10,20,40,60,80,111,14,16,18,12,112,42,62,82,113,34,36,38,30,114,116,74,90,52,35,56,58,50,121,65,118,117,115,57,78,70,123,85,87,89,119,94,96,79,92,100,...
>> >>
>> >> This is the lexico-first permutation of the integers > 0 such that
>> >> the a(n)th digit of the sequence is visible in a(n).
>> >>
>> >> Example (read from the present end of S):
>> >> - the 100st digit of S is 1
>> >> - the 92nd digit of S is 9
>> >> - the 79th digit of S is 7
>> >> - the 96th digit of S is 9, etc.
>> >>
>> >> Best,
>> >> É.
>> >>
>> >> _______________________________________________
>> >>
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>> >
>> > _______________________________________________
>> >
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