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A284368 Fixed point of the morphism 0->1, 1->1011. 1
1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

Let u(n) = # 0's <= n and v(n) = # 1's <= n.  Let r = (5+sqrt(13))/2 and s = (-1+sqrt(13))/2, so that 1/r + 1/s = 1.  Conjecture:  1 <  n*r - u(n) < 3 and -1 < n*s - v(n) < 1 for n >= 1.

LINKS

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

Index entries for sequences that are fixed points of mappings

EXAMPLE

1->1011-> 1011110111011->

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1}, 1 -> {1, 0, 1, 1}}] &, {0}, 10] (* A284368 *)

Flatten[Position[s, 0]]  (* A184485 *)

Flatten[Position[s, 1]]  (* A184484 *)

CROSSREFS

Cf. A184484, A184485.

Sequence in context: A267272 A225145 A285430 * A287725 A188038 A275694

Adjacent sequences:  A284365 A284366 A284367 * A284369 A284370 A284371

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Mar 26 2017

STATUS

approved

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Last modified October 17 10:50 EDT 2017. Contains 293469 sequences.