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A286805 Positions of 0 in A286804; complement of A286806. 4
1, 2, 4, 5, 8, 9, 12, 13, 15, 16, 19, 20, 23, 24, 26, 27, 30, 31, 34, 35, 38, 39, 41, 42, 45, 46, 49, 50, 52, 53, 56, 57, 60, 61, 64, 65, 67, 68, 71, 72, 75, 76, 78, 79, 82, 83, 86, 87, 89, 90, 93, 94, 97, 98, 101, 102, 104, 105, 108, 109, 112, 113, 115, 116 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) - a(n-1) is in {1,2,3} for n>=2, and a(n)/n -> (6 + sqrt(2))/4.

LINKS

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

EXAMPLE

As a word, A286804 = 0010011001100100110011..., in which 0 is in positions 1,2,4,5,8,9,...

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {0, 0, 1}, 1 -> {0}}] &, {0}, 16]; (* Pell word, A171588 *)

w = StringJoin[Map[ToString, s]];

w1 = StringReplace[w, {"000" -> ""}];

st = ToCharacterCode[w1] - 48 ; (* A286804 *)

Flatten[Position[st, 0]];  (* A286805 *)

Flatten[Position[st, 1]];  (* A286806 *)

CROSSREFS

Cf. A171588, A286804, A286806.

Sequence in context: A067366 A211967 A099628 * A188072 A296058 A189205

Adjacent sequences:  A286802 A286803 A286804 * A286806 A286807 A286808

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, May 16 2017

STATUS

approved

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Last modified June 24 13:17 EDT 2019. Contains 324325 sequences. (Running on oeis4.)