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A286804
{000->null}-transform of the Pell word, A171588.
6
0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0
OFFSET
1
COMMENTS
A171588 = 001001000100100010010010001001..., and deleting each occurrence of 000 gives 00100110011001001100110..., in which the positions of 0 are given by A286805, and of 1, by A286806.
LINKS
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
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, May 16 2017
STATUS
approved