[seqfan] Re: Skolem + digits + loop

[Eric Angelini]

Sorry, folks, the loop was there, under
my very eyes... Always drink an espresso
before sending, I know...

Propulsé d'un aPhone



Le 1 nov. 2013 à 10:40, "Eric Angelini" <Eric.Angelini at kntv.be> a écrit :

> 
> Hello SeqFans,
> can't find this seq K in the OEIS...
> K=0,0,1,2,1,3,2,4,5,3,6,7,4,8,5,9,1,6,1,7,0,0,8,2,3,9,2,4,3,5,6,7,4,8,9,5,1,6,1,7,0,0,8,2,9,3,2,4,5,3,6,7,4,8,5,9,1,6,1,7,0,0,8,2,3,9,2,4,3,5,6,7,4,8,9,5,1,6,1,7,0,0,8,2,9,3,2,...
> 
> Rules:
> - all integers of K are >= 0 and <= 9
> - there are d integers between each pair of successive d integers
> - K was extended trying always to insert the smallest pair of integers not
> yet inserted in K
> - when the first 9-9 pair of integers has
> been inserted, start a new cycle with 
> the second set of pairs (0-0,1-1,2-2,... 
> 9-9)
> - Never start a new cycle before the
> previous one has been completed.
> 
> Question:
> At some point K has to enter into a loop,
> I guess. But when and which loop?
> 
> Best,
> É.
> 
> 
> 
> 
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