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A285515 {00->0, 11->1}-transform of A285501. 8
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1
COMMENTS
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.
LINKS
MATHEMATICA
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 *)
CROSSREFS
Sequence in context: A189219 A189008 A353681 * A190204 A189028 A301850
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Apr 30 2017
STATUS
approved

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Last modified March 28 13:25 EDT 2024. Contains 371254 sequences. (Running on oeis4.)