RE : Terms share no digit with their difference (2)

Eric Angelini Eric.Angelini at kntv.be
Tue Aug 7 22:20:00 CEST 2007


|Jack]:
 
> The sequence can be infinite, correct?
> 1, 3, 11, 33, 111, 333, 1111, 3333, ...
 
... waow, well done ;-)
 
> I suppose one might ask for the densest (or slowest growing)
> such infinite sequence...

... indeed !
 
Best,
E.
 

________________________________

De: Jack Brennen [mailto:jb at brennen.net]
Date: mar. 07/08/2007 19:13
À: seqfan at ext.jussieu.fr
Objet : Re: Terms share no digit with their difference (2)



The sequence can be infinite, correct?

1, 3, 11, 33, 111, 333, 1111, 3333, ...

I suppose one might ask for the densest (or slowest growing)
such infinite sequence...


Eric Angelini wrote:
> 
> The constraint is not complete:
> The triplet a, b and (a-b) shares no digit.
> Sorry,
> É.
>
> -------------------------------------------
>
>
> Hello seqFans,
> What could be the longest seq. where two consecutive terms
> share no digit with their difference?
>
> Some examples of (too) short such seq.:
>
> S:  1  3  5  7  9  11  20  END  
> d:    2  2  2  2  2   9  
>
> S:  2  3  4  5  6  7  8  9  11  33  41  63  71  93  101 END
> d:    1  1  1  1  1  1  1  2  22   8  22   8  22   8
>
> Best,
> É.
>
>
>
>



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