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A246327 Total number of ON cells at stage 2n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 457". 1

%I #12 Feb 04 2015 16:08:29

%S 1,9,21,57,65,81,97,165,233,221,277,361,425,441,585,777,905,777,933,

%T 1045,1173,1225,1593,1833,1981,1725,1757,2429,2365,2701,2881,3093,

%U 3361,3345,3353,3397,3861,4057,4421,4549,4765,5053,5373,5713,5685,5769,6161,6933,7325,7029,7533,7757,8329,7853

%N Total number of ON cells at stage 2n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 457".

%C The number of ON cells at stage 2n+1 is infinite.

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

%H N. J. A. Sloane, <a href="/A246327/a246327.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[{ 457, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 130]] (* then take every other term *)

%t ArrayPlot /@ CellularAutomaton[{457, {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

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