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A286996
{0->000, 11->null}-transform of the Sturmian word A080764.
3
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0
OFFSET
1
COMMENTS
A080764 = 1101101110110111011011011101..., and replacing each 0 by 000 and deleting each 11 gives 000000100000010000000001000000100..., in which the positions of 0 are given by A286997, and of 1, by A188383.
LINKS
MATHEMATICA
s = Nest[Flatten[# /. {0 -> 1, 1 -> {1, 1, 0}}] &, {1}, 11]; (* Sturmian word A080764 *)
w = StringJoin[Map[ToString, s]];
w1 = StringReplace[w, {"0" -> "000", "11"->""}]
st = ToCharacterCode[w1] - 48 ; (* A286996 *)
Flatten[Position[st, 0]]; (* A286997 *)
Flatten[Position[st, 1]]; (* A188383 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, May 19 2017
STATUS
approved