Terms share no digit with their difference (2)

[Jack Brennen]

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.
> 
> 
> 
>