OFFSET
1,2
COMMENTS
Conjecture: 2n - a(n) is in {0,1} for n>=1.
Proof of this conjecture: Let (b(n))=A285249. Then clearly b(2n-1)b(2n)=01 or 10 for n=1,2,...So at time 2n you have seen n zeroes in the sequence b. The last of these must have occurred at time 2n or at time 2n-1, so either 2n-a(n)=0 or 2n-a(n)=1. - Michel Dekking, Jul 31 2017
EXAMPLE
As a word, A285249 = 010110100101..., in which 0 is in positions 1,3,6,8,9,11,14,...
MATHEMATICA
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Apr 23 2017
STATUS
approved