A284930 - OEIS

A284930

Positions of 0 in A284929; complement of A284931.

1, 4, 8, 11, 14, 18, 22, 25, 28, 32, 35, 38, 42, 45, 48, 52, 56, 59, 62, 66, 70, 73, 76, 80, 83, 86, 90, 93, 96, 100, 104, 107, 110, 114, 117, 120, 124, 127, 130, 134, 138, 141, 144, 148, 151, 154, 158, 161, 164, 168, 172, 175, 178, 182, 186, 189, 192, 196

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Conjecture: 1 < n*r - a(n) < 4 for n >= 1, where r = 2 + sqrt(2).

LINKS

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

EXAMPLE

As a word, A284929 = 011011..., in which 0 is in positions 1,4,8,11,...

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 0, 1, 1}}] &, {0}, 6] (* A284929 *)

Flatten[Position[s, 0]] (* A284930 *)