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A284201
The successive digits of the sequence are the same digits that have an even rank in the sequence.
1
1, 10, 11, 0, 2, 12, 100, 3, 20, 13, 21, 110, 30, 4, 31, 200, 5, 14, 32, 22, 15, 16, 120, 6, 300, 7, 40, 33, 17, 210, 50, 8, 51, 18, 41, 34, 23, 24, 25, 19, 52, 106, 9, 102, 60, 26, 43, 70, 80, 27, 44, 90, 53, 63, 61, 37, 42, 71, 101, 500, 28, 35, 81, 91, 38, 54, 111, 36, 45, 29, 39, 204, 62, 55, 112, 92, 56, 201, 103, 64
OFFSET
1,2
COMMENTS
The sequence is started with a(1) = 1 and always extended with the smallest integer not yet present and not leading to a contradiction.
LINKS
EXAMPLE
The first 15 terms are:
1,10,11,0,2,12,100,3,20,13,21,110,30,4,31
Their successive digits are:
1,1,0,1,1,0,2,1,2,1,0,0,3,2,0,1,3,2,1,1,1,0,3,0,4,3,1
The odd rank digits are here (between parentheses):
(1),1,(0),1,(1),0,(2),1,(2),1,(0),0,(3),2,(0),1,(3),2,(1),1,(1),0,(3),0,(4),3,(1)
Erasing the digits in the parentheses:
( ),1,( ),1,( ),0,( ),1,( ),1,( ),0,( ),2,( ),1,( ),2,( ),1,( ),0,( ),0,( ),3,( )
The surviving digits are:
1,1,0,1,1,0,2,1,2,1,0,0,3...
Those are indeed the digits of the starting sequence.
CROSSREFS
Sequence in context: A072804 A079793 A086884 * A324660 A336035 A334676
KEYWORD
nonn,base
AUTHOR
EXTENSIONS
Typo fixed in comments by Rémy Sigrist, Mar 23 2017
STATUS
approved