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%I #21 Dec 01 2019 23:14:01
%S 1,12,2,121,3,11,32,14,22,4,321,43,31,5,34,115,44,125,54,13,56,42,36,
%T 6,52,46,16,62,562,67,25,7,27,73,51,737,8,361,74,71,83,718,48,19,37,
%U 28,58,29,47,38,68,39,57,487,84,9,674,97,94,196,8410,710,420,684,20,720,430,69,4307,30
%N Lexicographically earliest sequence of distinct terms such that adding 10 to each term produces a new sequence that has exactly the same succession of digits as the present one.
%C The sequence starts with a(1) = 1 and is always extended with the smallest integer not yet present that doesn't lead to a contradiction.
%H Hans Havermann, <a href="/A302799/b302799.txt">Table of n, a(n) for n = 1..1000</a>
%H Hans Havermann, <a href="/A302799/a302799.jpg">Graph of the first 100000 terms</a>
%e 1 = a(1) is replaced by 1 + 10 = 11
%e 12 = a(2) is replaced by 12 + 10 = 22
%e 2 = a(3) is replaced by 2 + 10 = 12
%e 121 = a(4) is replaced by 121 + 10 = 131
%e 3 = a(5) is replaced by 3 + 10 = 13
%e 11 = a(6) is replaced by 11 + 10 = 21
%e 32 = a(7) is replaced by 32 + 10 = 42
%e 14 = a(8) is replaced by 14 + 10 = 24
%e etc.
%e We see that the first and the last column here (which are respectively the terms of the present sequence and the terms of the transformed one) share the same succession of digits (so far): 1,1,2,2,1,2,1,3,1,1,3,2,1,4,2,2,4,...
%Y Cf. A302656 for another transformation in the same spirit that preserves the succession of digits in the sequence.
%K nonn,base
%O 1,2
%A _Eric Angelini_ and _Hans Havermann_, Apr 13 2018
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