[seqfan] Skolem + digits

Eric Angelini Eric.Angelini at kntv.be
Fri Nov 1 10:40:27 CET 2013


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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