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A159689 Fixed point of the morphism 0 -> 0,1,0; 1 -> 1,1; starting from a(0)=0. 25
0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

The number of 1's between successive 0's gives A006519. - Philippe Deléham, Apr 22 2009

A word that is pure morphic and recurrent, but neither uniform morphic, primitive morphic, nor uniformly recurrent. - N. J. A. Sloane, Jul 14 2018

LINKS

Table of n, a(n) for n=0..104.

Jean-Paul Allouche, Julien Cassaigne, Jeffrey Shallit, Luca Q. Zamboni, A Taxonomy of Morphic Sequences, arXiv preprint arXiv:1711.10807, Nov 29 2017

MATHEMATICA

Nest[ Flatten[ # /. {0 -> {0, 1, 0}, 1 -> {1, 1}}] &, {0}, 5] (* Robert G. Wilson v, May 02 2009 *)

CROSSREFS

Sequences mentioned in the Allouche et al. "Taxonomy" paper, listed by example number: 1: A003849, 2: A010060, 3: A010056, 4: A020985 and A020987, 5: A191818, 6: A316340 and A273129, 18: A316341, 19: A030302, 20: A063438, 21: A316342, 22: A316343, 23: A003849 minus its first term, 24: A316344, 25: A316345 and A316824, 26: A020985 and A020987, 27: A316825, 28: A159689, 29: A049320, 30: A003849, 31: A316826, 32: A316827, 33: A316828, 34: A316344, 35: A043529, 36: A316829, 37: A010060.

Sequence in context: A284533 A286665 A096270 * A174282 A189301 A123640

Adjacent sequences:  A159686 A159687 A159688 * A159690 A159691 A159692

KEYWORD

easy,nonn

AUTHOR

Philippe Deléham, Apr 19 2009

EXTENSIONS

More terms from Robert G. Wilson v, May 02 2009

STATUS

approved

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Last modified January 23 00:56 EST 2019. Contains 319365 sequences. (Running on oeis4.)