login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A071029 Triangle read by rows giving successive states of cellular automaton generated by "Rule 22". 9

%I #27 Jan 30 2016 14:39:21

%S 1,1,1,1,1,0,0,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,

%T 1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,

%U 0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1

%N Triangle read by rows giving successive states of cellular automaton generated by "Rule 22".

%C Row n has length 2n+1.

%D S. Wolfram, A New Kind of Science, Wolfram Media, 2002; Chapter 3.

%H Michael De Vlieger, <a href="/A071029/b071029.txt">Table of n, a(n) for n = 0..10000</a>

%H Michael De Vlieger, <a href="/A071029/a071029.png">Illustration of first 256 generations</a>

%H S. Wolfram, <a href="http://wolframscience.com/">A New Kind of Science</a>

%H <a href="https://oeis.org/wiki/Index_to_Elementary_Cellular_Automata">Index to Elementary Cellular Automata</a>

%H <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>

%e From _Michael De Vlieger_, Oct 05 2015: (Start)

%e First 8 rows, replacing "0" with "." for better visibility of ON cells:

%e 1

%e 1 1 1

%e 1 . . . 1

%e 1 1 1 . 1 1 1

%e 1 . . . . . . . 1

%e 1 1 1 . . . . . 1 1 1

%e 1 . . . 1 . . . 1 . . . 1

%e 1 1 1 . 1 1 1 . 1 1 1 . 1 1 1

%e 1 . . . . . . . . . . . . . . . 1

%e (End)

%t clip[lst_] := Block[{p = Flatten@ Position[lst, 1]}, Take[lst, {Min@ p, Max@ p}]]; clip /@ CellularAutomaton[22, {{1}, 0}, 9] // Flatten (* _Michael De Vlieger_, Oct 05 2015 *)

%Y For number of ON cells see A071044.

%K nonn,tabf

%O 0,1

%A _Hans Havermann_, May 26 2002

%E Corrected by _Hans Havermann_, Jan 07 2012

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 24 11:47 EDT 2024. Contains 371936 sequences. (Running on oeis4.)