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%I #6 Mar 23 2017 14:36:10
%S 1,11,2,10,20,3,4,100,5,6,7,200,8,9,13,12,14,24,21,15,16,30,17,40,25,
%T 18,26,19,22,27,23,28,32,50,29,31,60,33,38,39,34,35,41,36,43,37,42,51,
%U 44,45,46,52,47,61,54,48,62,64,49,72,53,55,56,57,58,59,71,63,81,65,66,75,91,67,68,69,70
%N The successive digits of the sequence are the same digits that have a prime rank in the sequence.
%C The sequence is started with a(1) = 1 and always extended with the smallest integer not yet present and not leading to a contradiction.
%H Jean-Marc Falcoz, <a href="/A284212/b284212.txt">Table of n, a(n) for n = 1..3002</a>
%e The first 15 terms are:
%e 1,11,2,10,20,3,4,100,5,6,7,200,8,9,13
%e Their successive digits are:
%e 1,1,1,2,1,0,2,0,3,4,1,0,0,5,6,7,2,0,0,8,9,1,3
%e The prime rank digits are here (between parentheses):
%e 1,(1)(1),2,(1)0,(2)0,3,4,(1)0(0),5,6,7,(2)0(0),8,9,1(3),...
%e Erasing the digits not in the parentheses:
%e .,(1)(1),.,(1).,(2).,.,.,(1).(0),.,.,.,(2).(0),.,.,.(3),...
%e The surviving digits are:
%e 1,1,1,2,1,0,2,0,3,...
%e Those are indeed the digits of the starting sequence.
%K nonn,base
%O 1,2
%A _Eric Angelini_ and _Jean-Marc Falcoz_, Mar 23 2017
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