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A169705 Total number of ON cells at stage n of two-dimensional cellular automaton defined by "Rule 494". 4

%I #6 May 02 2016 11:54:11

%S 1,5,8,21,24,37,52,85,84,97,124,129,160,217,260,309,340,297,396,317,

%T 368,461,480,537,584,557,716,705,808,997,1112,1245,1256,1105,1332,

%U 1209,1320,1353,1452,1401,1468,1545,1628,1641,1776,1905,2052,2209,2160,2037,2392

%N Total number of ON cells at stage n of two-dimensional cellular automaton defined by "Rule 494".

%C Initialized with a single black (ON) cell at stage zero. - _Robert Price_, May 02 2016

%D S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 170.

%H Robert Price, <a href="/A169705/b169705.txt">Table of n, a(n) for n = 0..128</a>

%H Robert Price, <a href="/A169705/a169705.tmp.txt">Diagrams of the first 20 stages</a>

%H N. H. Packard and S. Wolfram, <a href="http://new.math.uiuc.edu/im2008/dakkak/papers/files/wolfram.2dca.pdf">Two-Dimensional Cellular Automata</a>, Journal of Statistical Physics, 38 (1985), 901-946.

%H N. J. A. Sloane, <a href="http://arxiv.org/abs/1503.01168">On the Number of ON Cells in Cellular Automata</a>, arXiv:1503.01168 [math.CO], 2015

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ElementaryCellularAutomaton.html">Elementary Cellular Automaton</a>

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

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

%H <a href="https://oeis.org/wiki/Index_to_2D_5-Neighbor_Cellular_Automata">Index to 2D 5-Neighbor Cellular Automata</a>

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

%t Map[Function[Apply[Plus,Flatten[ #1]]], CellularAutomaton[{ 494, {2,{{0,2,0},{2,1,2},{0,2,0}}},{1,1}},{{{1}},0},100]]

%Y Cf. A169706.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Apr 17 2010

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Last modified September 12 14:14 EDT 2024. Contains 375851 sequences. (Running on oeis4.)