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A286801
{0->110, 1->010}-transform of the Pell word, A171588.
3
1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1
OFFSET
1
COMMENTS
A171588 = 001001000100100010010010001001..., and replacing each 0 by 110 and each 1 by 010 gives 1101100101101100101101101100101..., in which the positions of 0 are given by A286802, and of 1, by A286803.
LINKS
MATHEMATICA
s = Nest[Flatten[# /. {0 -> {0, 0, 1}, 1 -> {0}}] &, {0}, 16]; (* Pell word, A171588 *)
w = StringJoin[Map[ToString, s]];
w1 = StringReplace[w, {"0" -> "110", "1" -> "010"}];
st = ToCharacterCode[w1] - 48 ; (* A286801 *)
Flatten[Position[st, 0]]; (* A286802 *)
Flatten[Position[st, 1]]; (* A286803 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, May 16 2017
STATUS
approved