



1, 4, 5, 8, 11, 14, 15, 18, 23, 26, 27, 30, 33, 36, 37, 40, 41, 44, 45, 48, 51, 54, 55, 58, 63, 66, 67, 70, 73, 76, 77, 80, 83, 86, 87, 90, 95, 98, 99, 102, 105, 108, 109, 112, 115, 118, 119, 122, 127, 130, 131, 134, 137, 140, 141, 144, 145, 148, 149, 152
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OFFSET

1,2


COMMENTS

Conjecture: a(n)/n > (3+sqrt(5))/2.


LINKS

Clark Kimberling, Table of n, a(n) for n = 1..10000


EXAMPLE

As a word, A285565 = 01100110..., in which 0 is in positions 1,4,5,8,11,...


MATHEMATICA

s = Nest[Flatten[# /. {0 > {1, 1}, 1 > {0, 1, 1, 0}}] &, {0}, 8] (* A285565 *)
Flatten[Position[s, 0]] (* A285566 *)
Flatten[Position[s, 1]] (* A285567 *)


CROSSREFS

Cf. A285565, A285567, A285568.
Sequence in context: A191214 A047376 A260989 * A293790 A190778 A117573
Adjacent sequences: A285563 A285564 A285565 * A285567 A285568 A285569


KEYWORD

nonn,easy


AUTHOR

Clark Kimberling, Apr 30 2017


STATUS

approved



