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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

Clark Kimberling, Table of n, a(n) for n = 1..10000

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

Cf. A285501, A285516, A285517, A285518, A285589.

Sequence in context: A189219 A189008 A276793 * A190204 A189028 A301850

Adjacent sequences:  A285512 A285513 A285514 * A285516 A285517 A285518

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 30 2017

STATUS

approved

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Last modified September 17 06:52 EDT 2019. Contains 327119 sequences. (Running on oeis4.)