[seqfan] Re: The a(n)th term of S ends with the a(n)th digit of S

Eric Angelini Eric.Angelini at kntv.be
Thu Jan 15 23:36:03 CET 2015


10 should be the 49th term, I guess.
(as we don't want to see zero in S(

Catapulté de mon aPhone

> Le 15 janv. 2015 à 22:48, "Reinhard Zumkeller" <reinhard.zumkeller at gmail.com> a écrit :
> 
> is 10 missing in S ?
> 
> 2015-01-15 21:03 GMT+01:00 Eric Angelini <Eric.Angelini at kntv.be>:
> 
>> Hello SeqFans,
>> start S with 1
>> Extend S with a(n) such that a(n) is the smallest unused integer so far
>> that ends with the a(n)th digit of S.
>> 
>> (so, if the 49th digit of S is a 0, then the 49th integer of S must be the
>> smallest unused integer so far that ends with 0)
>> 
>> S =
>> 1,2,3,4,5,6,7,8,9,11,21,12,31,41,22,13,51,14,61,32,42,71,23,15,81,91,24,16,101,33,52,34,62,17,...
>> 
>> Table below:
>> The digit ranks in S are (vertically) given by Dig/Dig -- digit #49 is
>> here ----+
>> S is S
>>      |
>> n is n
>>      |
>> 
>> Dig   1 2 3 4 5 6 7 8 9 11 11 11 11 11 22 22 22 22 22 33 33 3...
>>      4
>> Dig                     01 23 45 67 89 01 23 45 67 89 01 23 4...
>>      9
>> S =
>> 1,2,3,4,5,6,7,8,9,11,21,12,31,41,22,13,51,14,61,32,42,71,23,15,81,91,24,16,101,33,52,34,62,17,...,10,
>> n = 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26
>> 27 28  29 30 31 32 33 34,... 49
>> 
>> S is a permutation of the integers > 0.
>> 
>> https://oeis.org/A126968 is not.
>> 
>> Best,
>> É.
>> 
>> 
>> _______________________________________________
>> 
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> 
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