A284506 - OEIS

A284506

Positions of 0 in A284505; complement of A284507.

3, 4, 7, 8, 13, 14, 17, 18, 23, 24, 27, 28, 31, 32, 35, 36, 41, 42, 45, 46, 51, 52, 55, 56, 59, 60, 63, 64, 69, 70, 73, 74, 79, 80, 83, 84, 89, 90, 93, 94, 99, 100, 103, 104, 107, 108, 111, 112, 117, 118, 121, 122, 127, 128, 131, 132, 135, 136, 139, 140, 145

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

OFFSET

1,1

COMMENTS

Conjecture: -3 < n*r - a(n) < 4 for n >= 1, where r = (3+sqrt(3))/2.

LINKS

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

EXAMPLE

The first 10 letters of the word in A284505 are 1100110011, in which the positions of 0 are 3,4,7,8.

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1}, 1 -> {1, 1, 0, 0}}] &, {0}, 16]; (* A284505 *)

Flatten[Position[s, 0]]; (* A284506 *)