A285383 Limiting 0-word of the morphism 0 -> 11, 1 -> 01.

0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1

Offset

1

Links

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

Index entries for sequences that are fixed points of mappings

Formula

a(n) = A285384(n) for n>=2.

Conjecture: a(n) = A035263(n-1). - R. J. Mathar, May 08 2017

Example

0 -> 11-> 0101 -> 11011101 -> 0101110101011101 ->

Mathematica

s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 1}}] &, {0}, 10] (* A285383 *)
Flatten[Position[s, 0]]  (* A171947 *)
Flatten[Position[s, 1]]  (* A171946 *)
SubstitutionSystem[{0->{1, 1}, 1->{0, 1}}, {0, 1}, {6}][[1]] (* Harvey P. Dale, Oct 01 2024 *)

Crossrefs

Cf. A171947, 171946, A285384.

Sequence in context: A030308 A280237 A259044 * A276950 A285351 A284893

Adjacent sequences: A285380 A285381 A285382 * A285384 A285385 A285386

Keyword

nonn,easy

Author

Clark Kimberling, Apr 26 2017

Status

approved