[seqfan] Re: Fun and quick permutation (with a digital root)

[Eric Angelini]

Aaaarghhh - true again :-((
Thanks for the correction -- and the 
submission!
É.

> Le 30 sept. 2014 à 00:16, "M. F. Hasler" <oeis at hasler.fr> a écrit :
> 
> Dear Eric,
> I confirm your values modulo the typo "17"(wrong?) instead of "14"(my
> PARI suggests) near the end of your list.
> Proposed as https://oeis.org/draft/A248025
> M.
> 
>> On Mon, Sep 29, 2014 at 11:05 AM, Eric Angelini <Eric.Angelini at kntv.be> wrote:
>> 
>> Hello SeqFans (last posting of the day, my apologizes)
>> 
>> Here is another simple permutation of the integers > 0.
>> Start S with a(1) = 1
>> Extend S with the smallest unused integer so far such
>> that a(n+1) starts with the digital root of a(n). I get:
>> 
>> S = 1,10,11,2,20,21,3,30,31,4,40,41,5,50,51,6,60,61,7,70,71,8,80,81,9,90,91,12,32,52,72,92,22,42,62,82,13,43,73,17,53,83,23,...
>> 
>> Example:
>> 10 is the smallest available integer with '1' as leftmost digit
>>   -- this '1' being the digital root of a(1);
>> 11 is the smallest available integer with '1' as leftmost digit
>>   -- this '1' being the digital root of a(2);
>> 2 is the smallest available integer with '2' as leftmost digit
>>   -- this '2' being the digital root of a(3);
>> 20 is the smallest available integer with '2' as leftmost digit
>>   -- this '2' being the digital root of a(4);
>> ...
>> [look now at the present end of S]:
>> ...
>> 23 is the smallest available integer with '2' as leftmost digit
>>   -- this '2' being the digital root of the term coming before 23
>>   (the digital root of 83 is 8+3=11 then 1+1=2)
>> 
>> Best,
>> É.
>> 
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> 
> 
> 
> -- 
> Maximilian
> 
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