A283964 - OEIS

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A283964

Positions of 0 in A283963; complement of A283965.

2, 4, 7, 9, 12, 14, 16, 18, 21, 23, 26, 28, 30, 32, 35, 37, 40, 42, 45, 47, 50, 52, 54, 56, 59, 61, 64, 66, 68, 70, 73, 75, 78, 80, 83, 85, 88, 90, 92, 94, 97, 99, 102, 104, 106, 108, 111, 113, 116, 118, 120, 122, 125, 127, 130, 132, 134, 136, 139, 141, 144

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

OFFSET

1,1

COMMENTS

Conjecture: -1 < n*r - a(n) < 2 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 A282963 are 1010110101, in which the positions of 0 are 2,4,7,9.

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1}, 1 -> {1, 0, 1, 0}}] &, {0}, 10] (* A283963 *)

Flatten[Position[s, 0]] (* A283964 *)