OFFSET
1,2
COMMENTS
Conjecture: a(n)/n -> (1+sqrt(5))/2 = golden ratio (A001622).
Proof of this conjecture: the limit is 1/f0 where f0 is the frequency of 0 in (a(n)). Since the generating morphism of (a(n)) has the same incidence matrix as the generating morphism 0->11, 1->0101 of the sequence A285518, it follows that 1/f0 = phi = golden ratio. - Michel Dekking, Feb 22 2021
LINKS
Clark Kimberling, Table of n, a(n) for n = 1..10000
EXAMPLE
As a word, A285568 = 110110011011..., in which 1 is in positions 1,2,4,5,8,...
MATHEMATICA
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Apr 30 2017
STATUS
approved