A285662 - OEIS

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A285662

Positions of 0 in A285661; complement of A285663.

3, 4, 7, 8, 15, 16, 19, 20, 27, 28, 31, 32, 35, 36, 39, 40, 43, 44, 47, 48, 55, 56, 59, 60, 67, 68, 71, 72, 75, 76, 79, 80, 83, 84, 87, 88, 95, 96, 99, 100, 107, 108, 111, 112, 119, 120, 123, 124, 131, 132, 135, 136, 143, 144, 147, 148, 155, 156, 159, 160

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

OFFSET

1,1

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, A285661 = 110011001..., in which 0 is in positions 3,4,7,8,15,...

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {1, 1, 0, 0}}] &, {0}, 9] (* A285661 *)

Flatten[Position[s, 0]] (* A285662 *)