A189479 Fixed point starting with 0 of the morphism 0->01, 1->101.

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

Offset

1

Comments

Is this a shifted version of A114986 or A096270? - R. J. Mathar, May 16 2011

Response: A189479(n)=A114986(n-1) for n>=2; this follows from formulas at A099267 (the positions of 1 in A189479) and the fact that A114986 is the characteristic function of the lower Wythoff sequence with 0 prefixed. - Clark Kimberling, May 22 2011

Links

Table of n, a(n) for n=1..131.

Index entries for sequences that are fixed points of mappings

Example

0->01->01101->0110110101101->

Mathematica

t = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 0, 1}}] &, {0}, 6] (*A189479*)
Flatten[Position[t, 0]] (*A007066*)
Flatten[Position[t, 1]] (*A099267*)

Crossrefs

Cf. A007066, A099267, A114986.

Sequence in context: A288478 A225183 A082410 * A260394 A181932 A284792

Adjacent sequences: A189476 A189477 A189478 * A189480 A189481 A189482

Keyword

nonn,easy

Author

Clark Kimberling, Apr 22 2011

Extensions

Name clarified by Michel Dekking, Sep 30 2019

Status

approved