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A284364 Fixed point of the morphism 0->1, 1->101010. 3
1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 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 = (9+sqrt(21))/6 and s = (-1+sqrt(21))/2, so that 1/r + 1/s = 1.  Conjecture:  -2 <  n*r - u(n) < 2 and -1 < n*s - v(n) < 2 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->101010-> 101010110101011010101->

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1}, 1 -> {1, 0, 1, 0, 1, 0}}] &, {0}, 10] (* A284364 *)

Flatten[Position[s, 0]]  (* A284365 *)

Flatten[Position[s, 1]]  (* A284366 *)

CROSSREFS

Cf. A284365, A284366.

Sequence in context: A191188 A285592 A276793 * A115788 A195062 A229940

Adjacent sequences:  A284361 A284362 A284363 * A284365 A284366 A284367

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Mar 26 2017

STATUS

approved

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Last modified June 16 21:55 EDT 2021. Contains 345080 sequences. (Running on oeis4.)