A285422 - OEIS

A285422

Positions of 0 in A285421; complement of A285423.

3, 6, 11, 14, 17, 20, 25, 28, 33, 36, 39, 42, 47, 50, 55, 58, 63, 66, 71, 74, 77, 80, 85, 88, 93, 96, 99, 102, 107, 110, 115, 118, 121, 124, 129, 132, 137, 140, 143, 146, 151, 154, 159, 162, 167, 170, 175, 178, 181, 184, 189, 192, 197, 200, 203, 206, 211

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

OFFSET

1,1

COMMENTS

Conjecture: -1 < n*r - a(n) < 5 for n>=1, where r = 2 + sqrt(3).

LINKS

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

EXAMPLE

As a word, A285421 = 110110111101..., in which 0 is in positions 3,6,11,14,...

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 1, 1}}] &, {0}, 11] (* A285421 *)

Flatten[Position[s, 0]] (* A285422 *)