# [seqfan] Re: Digits concatenation

Harvey P. Dale hpd1 at nyu.edu
Thu Nov 10 15:39:40 CET 2011

```	Okay, sorry for the confusion.
Best
Harvey

-----Original Message-----
From: seqfan-bounces at list.seqfan.eu
[mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of Paolo Lava
Sent: Thursday, November 10, 2011 9:25 AM
To: Sequence Fanatics Discussion list
Subject: [seqfan] Re: Digits concatenation

Harvey,

I am looking for two number that "minimize" the ratio: min(x/y). If you
want to maximize...I agree with you.

Paolo

2011/11/10 Harvey P. Dale <hpd1 at nyu.edu>

>        I'm not sure why the largest integer, x/y, is not always
> obtained when y=1 and x equals the largest number that can be created
> with the remaining digits.  For example, for a(7), 765432/1=765432?  I

> know that 1 is a permissible value for y because that's the example
> for
> a(2) that Paolo provided.
>
>        Best,
>
>        Harvehy
>
> -----Original Message-----
> From: seqfan-bounces at list.seqfan.eu
> [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of Claudio Meller
> Sent: Thursday, November 10, 2011 9:03 AM
> To: Sequence Fanatics Discussion list
> Subject: [seqfan] Re: Digits concatenation
>
> HI Paolo, seqfans, I found this values:
> without 0:
>
> a(6)= 2346/51= 46, a(7)= 3426/571=6, a(8)= 3456/1728 = 2 a(9)=
> 13458/6729=2
>
> with 0:
>
> a(6)= 304/152=2, a(7)= 1046/523=2, a(8)= 10352/647=16, a(9)=
> 10476/5328=2
>
> Best,
>
> 2011/11/10 Paolo Lava <paoloplava at gmail.com>
>
> > Dear SeqFans,
> >
> >
> >
> > I am thinking to a sequence where at any step "n" we concatenate all

> > the digits of all the natural numbers from 1 to n in order to build
> > up
>
> > two numbers x and y that minimize the ratio x/y, being x/y integer
> >
> >
> >
> > Starting with a(1)=1 we have a(2)=2 because 2/1=2, a(3)=4 because
> > 12/3=4,
> > a(4)=33 because 132/4=33, a(5)=38 because 532/14=38, etc.
> >
> >
> >
> > If we start from a(0)=0 we have a(1)=0 (0/1), a(2)=5 (10/2), a(3)=34

> > (102/3), a(4)=3 (102/34), etc.
> >
> >
> >
> > Is there anybody who is willing to compute additional terms?
> >
> >
> >
> > Thanks
> >
> >
> >
> > Paolo
> >
> > _______________________________________________
> >
> > 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/
>
> _______________________________________________
>
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>

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