A284200 The successive digits of the sequence are the same digits that have an odd rank in the sequence.

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

Jean-Marc Falcoz, Table of n, a(n) for n = 1..3003

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

Adjacent sequences: A284197 A284198 A284199 * A284201 A284202 A284203

Keyword

nonn,base

Author

Eric Angelini and Jean-Marc Falcoz, Mar 22 2017

Status

approved