[seqfan] Re: 1862

M. F. Hasler seqfan at hasler.fr
Tue Oct 8 13:06:02 CEST 2019


On Mon, Oct 7, 2019, 12:59 Neil Sloane wrote:

> That sequence is now A328075.  Thank you Éric!
>

The sequence starts presently with 90 trivial terms 10..99 : in a two digit
number all differences are distinct since there is only one.
Technically speaking, the single digit numbers also satisfy the property
that all differences are distinct. So they are also in the sequence
But rather than to add these in front, one might have chosen offset = 90
(if not 100) and start with or near the nontrivial terms.

- Maximilian

On Mon, Oct 7, 2019 at 5:27 AM Éric Angelini wrote:
>
> > 1862.
> > Pick any two digits: their absolute
> > difference is unique (for 1862). Indeed
> > the set of all 2-digit abs diffs of 1862
> > is 7,5,1,2,6,4, with no repeated element.
> >
> > The same with 10 or 1037
> > (10 --> 1 and 1037 --> 1,3,2,4,7,6).
> >
> > With a(1) = 10, the seq has precisely...
> > ... 1862 terms. Which is the header
> > of this msg. (Yes, we love selfref')
> > Best,
> > É.
> > (many thanks to Jean-Marc Falcoz, in copy)
>



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