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A285677 {0010->2}-transform of the infinite Fibonacci word A003849. 4
0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

As a word, A003849 = 01001010010010100..., and replacing each 0010 by 2 gives 0121201012120101201012120101212010...

Warning: "replacing each 0010 by 2" means "replacing each 0010 by 2 from left to right, consecutively". The result is that the word a(8)...a(14)=0010010 in A003849 is replaced by 201, not by 22. - Michel Dekking, Aug 27 2018

LINKS

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

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {0}}] &, {0}, 13] ; (* A003849 *)

w = StringJoin[Map[ToString, s]]

w1 = StringReplace[w, {"0010" -> "2"}]

st = ToCharacterCode[w1] - 48; (* A285677 *)

Flatten[Position[st, 0]];  (* A285678 *)

Flatten[Position[st, 1]];  (* A182761 - conjectured *)

Flatten[Position[st, 2]];  (* A285679 *)

CROSSREFS

Cf. A003849, A284620, A285678, A182761, A285679.

Sequence in context: A104886 A215604 A139351 * A036578 A229764 A077402

Adjacent sequences:  A285674 A285675 A285676 * A285678 A285679 A285680

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, May 11 2017

STATUS

approved

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Last modified November 16 21:47 EST 2018. Contains 317275 sequences. (Running on oeis4.)