cp's OEIS Frontend

A071038 Triangle read by rows giving successive states of cellular automaton generated by "Rule 182".

%I A071038 #33 Feb 16 2025 08:32:46
%S A071038 1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,
%T A071038 1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,
%U A071038 1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1
%N A071038 Triangle read by rows giving successive states of cellular automaton generated by "Rule 182".
%C A071038 Row n has length 2n+1.
%D A071038 S. Wolfram, A New Kind of Science, Wolfram Media, 2002; Chapter 3.
%H A071038 Michael De Vlieger, <a href="/A071038/b071038.txt">Table of n, a(n) for n = 0..9999, i.e., rows 0 - 99.</a>
%H A071038 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ElementaryCellularAutomaton.html">Elementary Cellular Automaton</a>
%H A071038 S. Wolfram, <a href="http://dx.doi.org/10.1103/RevModPhys.55.601">Statistical mechanics of cellular automata</a>, Rev. Mod. Phys., 55 (1983), 601--644.
%H A071038 S. Wolfram, <a href="http://wolframscience.com/">A New Kind of Science</a>
%H A071038 <a href="https://oeis.org/wiki/Index_to_Elementary_Cellular_Automata">Index to Elementary Cellular Automata</a>
%H A071038 <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
%e A071038 Triangle begins:
%e A071038                            1,
%e A071038                         1, 1, 1,
%e A071038                      1, 0, 1, 0, 1,
%e A071038                   1, 1, 1, 1, 1, 1, 1,
%e A071038                1, 0, 1, 1, 1, 1, 1, 0, 1,
%e A071038             1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1,
%e A071038          1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
%e A071038       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
%e A071038    1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,
%e A071038 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1,
%e A071038 ...
%t A071038 Flatten@ Table[CellularAutomaton[182, {{1}, 0}, {{i}}], {i, 0, 9}] (* _Michael De Vlieger_, Mar 02 2015, based on _N. J. A. Sloane_ at A071042 *)
%Y A071038 See A071042 for number of zeros at generation n.
%K A071038 nonn,tabf
%O A071038 0,1
%A A071038 _Hans Havermann_, May 26 2002
%E A071038 Corrected by _Hans Havermann_, Jan 07 2012