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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 (list; graph; refs; listen; history; text; internal format)
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

Jean-Marie Falcoz, Table of n, a(n) for n = 1..3004

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

Adjacent sequences:  A284198 A284199 A284200 * A284202 A284203 A284204

KEYWORD

nonn,base

AUTHOR

Eric Angelini and Jean-Marc Falcoz, Mar 22 2017

EXTENSIONS

Typo fixed in comments by Rémy Sigrist, Mar 23 2017

STATUS

approved

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Last modified September 22 07:48 EDT 2021. Contains 347605 sequences. (Running on oeis4.)