[seqfan] Re: 1862

Neil Sloane njasloane at gmail.com
Tue Oct 8 17:31:49 CEST 2019


Wherever it starts, it is a list, so has offset 1!

Eric's choice of starting it at 10 seems like a good compromise.


On Tue, Oct 8, 2019 at 10:25 AM Éric Angelini <eric.angelini at skynet.be>
wrote:

> You are absolutely right, Maximilian --
> and Jean-Marc's list (sent to me in a
> private mail) started indeed with 1,2,3,
> 4,5,6,7,8,9,10,11...
> His count was then 1872.
> And as 1872 wasn't in the list, I've
> cheated (a bit)!
>
> à+
> É.
> Catapulté de mon aPhone
>
>
> > Le 8 oct. 2019 à 13:06, M. F. Hasler <seqfan at hasler.fr> a écrit :
> >
> >> 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)
> >>
> >
> > --
> > Seqfan Mailing list - http://list.seqfan.eu/
>
>
> --
> Seqfan Mailing list - http://list.seqfan.eu/
>



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