A286925 {0->01,1->00}-transform of the Sturmian word A080764.

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

Offset

1

Comments

A080764 = 1101101110110111011011011101..., and replacing each 0 by 01 and each 1 by 00 gives 0000010000010000000100000100000001000001..., in which the positions of 0 are given by A286926, and of 1, by A286927.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> 1, 1 -> {1, 1, 0}}] &, {1}, 11]; (* Sturmian word A080764 *)
w = StringJoin[Map[ToString, s]];
w1 = StringReplace[w, {"0" -> "01", "1" -> "00"}]
st = ToCharacterCode[w1] - 48 ; (* A286925 *)
Flatten[Position[st, 0]];  (* A286926 *)
Flatten[Position[st, 1]];  (* A286927 *)

Crossrefs

Cf. A080764, A286926, A286927, A286688.

Sequence in context: A324824 A025458 A378449 * A378598 A378540 A179527

Adjacent sequences: A286922 A286923 A286924 * A286926 A286927 A286928

Keyword

nonn,easy

Author

Clark Kimberling, May 18 2017

Status

approved