This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A159689 #13 May 27 2025 07:27:27
%S A159689 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,
%T A159689 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,
%U A159689 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
%N A159689 Fixed point of the morphism 0 -> 0,1,0; 1 -> 1,1; starting from a(0)=0.
%C A159689 The number of 1's between successive 0's gives A006519. - _Philippe Deléham_, Apr 22 2009
%C A159689 A word that is pure morphic and recurrent, but neither uniform morphic, primitive morphic, nor uniformly recurrent. - _N. J. A. Sloane_, Jul 14 2018
%H A159689 Jean-Paul Allouche, Julien Cassaigne, Jeffrey Shallit, and Luca Q. Zamboni, <a href="https://arxiv.org/abs/1711.10807">A Taxonomy of Morphic Sequences</a>, arXiv preprint arXiv:1711.10807 [cs.FL], Nov 29 2017.
%t A159689 Nest[ Flatten[ # /. {0 -> {0, 1, 0}, 1 -> {1, 1}}] &, {0}, 5] (* _Robert G. Wilson v_, May 02 2009 *)
%Y A159689 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.
%K A159689 easy,nonn
%O A159689 0,1
%A A159689 _Philippe Deléham_, Apr 19 2009
%E A159689 More terms from _Robert G. Wilson v_, May 02 2009