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Total number of ON cells at stage n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 462".
4

%I #13 Feb 04 2015 15:27:31

%S 1,5,8,21,20,32,48,65,56,84,84,112,136,196,216,297,244,300,308,268,

%T 356,396,468,572,524,544,616,744,796,900,960,1145,1012,1084,1052,1120,

%U 1188,1268,1476,1592,1668,1620,1784,1776,1860,2040,2144,2504,2484,2416,2472,2608,2572,2832,3008,3292,3172,3384,3460,3524,3792

%N Total number of ON cells at stage n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 462".

%D S. Wolfram, A New Kind of Science, Wolfram Media, 2002; pp. 173-175.

%H Vincenzo Librandi, <a href="/A246330/b246330.txt">Table of n, a(n) for n = 0..200</a>

%H N. J. A. Sloane, <a href="/A246330/a246330.pdf">Illustration of first 24 generations</a>

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

%t Map[Function[Apply[Plus, Flatten[ #1]]], CellularAutomaton[{ 462, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 130]]

%t ArrayPlot /@ CellularAutomaton[{462, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 23]

%Y Cf. A169699, A246316, A246318, A246325, A246326, ...

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Aug 30 2014