[seqfan] A new sequence?

Claudio Meller claudiomeller at gmail.com
Sat Sep 17 14:48:29 CEST 2016


Rodolfo Kurchan propose in a group in facebook (
https://www.facebook.com/groups/1157552824271105/?fref=ts)
  this sequence : 1,2,3,4,5,6,7,8,9,10,23,14,20,13,24,15,26,17,25,16,27,18

Where, starting with a(1)=1, take a(n+1) to be the smallest counting number
not already in the series, such that a(n) and a(n+1) together repeat no
digits.

He ask  which is the last number of this sequence, I think that is 78642
but I`m not sure.
Can somebody confirm?

This sequence is similar to A054659 https://oeis.org/A054659,
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 23, 40, 51, 60, 71, 80, 91, 203, 415,
602, 713, 802, 913, 2045, 3167, 4025, 6137, 8024, 9135, 20467, 31589,
40267, 51389, 60247, 81359

​I'm not sure if this sequence is interest for the OEIS​

​Best regards,​

-- 
Claudio Meller
http://grageasdefarmacia.blogspot.com
http://todoanagramas.blogspot.com/
http://simplementenumeros.blogspot.com/



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