OFFSET
0,1
COMMENTS
Conjectured quasiperiodicity with autocorrelation function R(x) = 1/2 if x = 0, 1/4 if x > 0.
Some other proved or conjectured (or suspected) nonperiodic binary sequences where there are no more than two consecutive 0's or 1's include: A083035, A285305, A190843, A286059, A288213, A288551, A288473, A176405, A188321, A188398, A191162, A272170, A197879, A078588, A272532, A273129, A074937, A188297, A289128. Others?
MATHEMATICA
c[n_]:=c[n]=(c[n-1]-2c[n-2]+c[n-3])/n;
c[1] = 0; c[2] = 0; c[3] = 1;
Table[Ceiling@c[j], {j, 1, 2^7}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Andres Cicuttin, Oct 11 2020
STATUS
approved