# [seqfan] Re: Fractions, digits, decimal expansion

Bob Selcoe rselcoe at entouchonline.net
Mon Dec 14 16:07:44 CET 2015

```Hi Eric an Seqfans,

9 does not appear.

Cheers,
Bob Selcoe

--------------------------------------------------
From: "Eric Angelini" <Eric.Angelini at kntv.be>
Sent: Monday, December 14, 2015 8:59 AM
To: "Sequence Fanatics" <seqfan at list.seqfan.eu>
Cc: <alexandre.wajnberg at skynet.be>
Subject: [seqfan] Fractions, digits, decimal expansion

> Hello SeqFans,
> Here is an echo to the seq computed by Hans Havermann last July:
> https://oeis.org/A257664
>
> a(1)=1; a(n+1) is the smallest positive integer not yet used
> such that the set of the different digits present in the
> fraction F=a(n)/a(n+1) is visible in the decimal expansion of F:
>
> S = 1,6,13,10,14,17,7,8,...
>
> Example:
> 1/6 = 0,1666... (we see 1 and 6)
> 6/13 = 0,461538461538... (we see 6, 1 and 3)
> 13/10 = 1,30 (yes, we admit this zero)
> 10/14 = 0,7142857142... (we see 1, 0 and 4)
> 14/17 = 0,8235294117... (we see 1, 4 and 7)
> 17/7 = 2,4285714285... (we see 1 and 7)
> 7/8 = 0,875 (we see 7 and 8)
> etc.
>
> Is S a permutation of the natural numbers > 0?
>
> Best,
> É.
>
>
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>
```

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