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A285515
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{00->0, 11->1}-transform of A285501.
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8
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0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1
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OFFSET
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1
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COMMENTS
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As a word, A285501 = 0011001100110011111100110011111100110011..., so that the transform of A285501 that results from the substitutions 00-> and 11->1 is 01010101110101110101010101011101011101010... The sequence is also the 0-limiting word of the morphism 0->11, 1->0101. See A285517 and A285518 for conjectured connections to the golden ratio.
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LINKS
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MATHEMATICA
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s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 0, 1, 1}}] &, {0}, 6] (* A285501 *)
w = StringJoin[Map[ToString, s]]
w1 = StringReplace[w, {"00" -> "0", "11" -> "1"}]
s1 = ToCharacterCode[w1] - 48 (* A285515 *)
Flatten[Position[s1, 0]] (* A285516 *)
Flatten[Position[s1, 1]] (* A285517 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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