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A284200
The successive digits of the sequence are the same digits that have an odd rank in the sequence.
1
0, 1, 10, 100, 2, 110, 20, 3, 21, 11, 120, 4, 200, 5, 30, 22, 12, 13, 14, 15, 210, 6, 40, 220, 50, 7, 51, 300, 8, 23, 24, 16, 25, 17, 31, 18, 41, 19, 52, 26, 130, 9, 60, 400, 32, 42, 70, 35, 80, 27, 45, 61, 33, 90, 101, 81, 28, 34, 29, 43, 106, 62, 55, 71, 37, 53, 91, 111, 82, 44, 121, 39, 65, 72, 92, 36, 112, 310, 49, 46, 102
OFFSET
1,3
COMMENTS
The sequence is started with a(1) = 0 and always extended with the smallest integer not yet present and not leading to a contradiction.
LINKS
EXAMPLE
The first 15 terms are:
0,1,10,100,2,110,20,3,21,11,120,4,200,5,30
Their successive digits are:
0,1,1,0,1,0,0,2,1,1,0,2,0,3,2,1,1,1,1,2,0,4,2,0,0,5,3,0
The even rank digits are here (between parentheses):
0,(1),1(0),1(0)0,(2),1(1)0,(2)0,(3),2(1),1(1),1(2)0,(4),2(0)0,(5),3(0),...
Erasing the digits in the parentheses:
0,( ),1( ),1( )0,( ),1( )0,( )0,( ),2( ),1( ),1( )0,( ),2( )0,( ),3( ),...
The surviving digits are:
0,1,1,0,1,0,0,2,1,1,0,2,0,3,...
Those are indeed the digits of the starting sequence.
CROSSREFS
Sequence in context: A292429 A145644 A317055 * A355893 A228410 A119589
KEYWORD
nonn,base
AUTHOR
STATUS
approved