A286688 - OEIS

A286688

{0->00, 1->10}-transform of the Pell word, A171588.

0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0

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

OFFSET

LINKS

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

EXAMPLE

As a word, A171588 = 001001000100100010010010001001000..., and replacing each 0 by 00 and each 1 by 10 gives 00001000001000000010000010...

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {0, 0, 1}, 1 -> {0}}] &, {0}, 6] (* A171588 *)

w = StringJoin[Map[ToString, s]]

w1 = StringReplace[w, {"0" -> "00", "1"->"10"}]

st = ToCharacterCode[w1] - 48 ; (* A286688 *)

Flatten[Position[st, 0]]; (* A286689 *)