# [seqfan] Re: Sequence similar to one already published

Allan Wechsler acwacw at gmail.com
Thu Jan 6 17:42:00 CET 2022

```I don't think the proposed sequence is any goofier than thousands of other
number-representation-concatenation games OEIS already archives. One thing
that I would like to see in such an entry would be an existence proof --
that there is, in fact, an answer for all N > 3.

If the proposed sequence has k = 13, and the existence proof goes through,
then obviously other sequences could be constructed for other k. For
example, k = 7 gives (by unreliable back-of-the-envelope calculation) 21,
231, 3241 ..., which is not in OEIS either. In fact, for k = 2, we get the
silly 12, 132, 1234, 12354, ... which also isn't in OEIS. What makes k = 13
especially interesting in this respect?

On Thu, Jan 6, 2022 at 10:30 AM Claudio Meller <claudiomeller at gmail.com>
wrote:

> You're right.
> Thank you
>
> El jue, 6 ene 2022 a las 11:57, Robert Gerbicz (<robert.gerbicz at gmail.com
> >)
> escribió:
>
> > Hi!
> >
> > a(10)=10123456798 and next terms are also very likely wrong.
> >
> > Claudio Meller <claudiomeller at gmail.com> ezt írta (időpont: 2022. jan.
> 6.,
> > Cs, 15:18):
> >
> > > Hi, I found a sequence very similar to https://oeis.org/A178303.
> > >
> > > Smallest multiple of 13 such that it is possible to form by
> concatenating
> > > the first k positive integers in some order.
> > >
> > >
> > >
> >
> 312,2314,14235,125346,1234675,12348765,123456879,12345791068,1234567891011,123456711812109,12345678910131112
> > >
> > >
> > > (3, 1, 2)   312
> > > (2, 3, 1, 4)   2314
> > > (1, 4, 2, 3, 5)   14235
> > > (1, 2, 5, 3, 4, 6)   125346
> > > (1, 2, 3, 4, 6, 7, 5)   1234675
> > > (1, 2, 3, 4, 8, 7, 6, 5)   12348765
> > > (1, 2, 3, 4, 5, 6, 8, 7, 9)   123456879
> > > (1, 2, 3, 4, 5, 7, 9, 10, 6, 8)   12345791068
> > > (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11)   1234567891011
> > > (1, 2, 3, 4, 5, 6, 7, 11, 8, 12, 10, 9)   123456711812109
> > > (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 11, 12)   12345678910131112
> > >
> > >
> > > is it worth publishing or is it nonsense?
> > > Best, Claudio
> > >
> > > --
> > > Claudio Meller
> > > http://grageasdefarmacia.blogspot.com
> > > http://todoanagramas.blogspot.com/
> > > http://simplementenumeros.blogspot.com/
> > >
> > > --
> > > Seqfan Mailing list - http://list.seqfan.eu/
> > >
> >
> > --
> > Seqfan Mailing list - http://list.seqfan.eu/
> >
>
>
> --
> Claudio Meller
> http://grageasdefarmacia.blogspot.com
> http://todoanagramas.blogspot.com/
> http://simplementenumeros.blogspot.com/
>
> --
> Seqfan Mailing list - http://list.seqfan.eu/
>

```