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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
1, 9, 21, 57, 65, 81, 97, 165, 233, 221, 277, 361, 425, 441, 585, 777, 905, 777, 933, 1045, 1173, 1225, 1593, 1833, 1981, 1725, 1757, 2429, 2365, 2701, 2881, 3093, 3361, 3345, 3353, 3397, 3861, 4057, 4421, 4549, 4765, 5053, 5373, 5713, 5685, 5769, 6161, 6933, 7325, 7029, 7533, 7757, 8329, 7853 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
The number of ON cells at stage 2n+1 is infinite.
REFERENCES
S. Wolfram, A New Kind of Science, Wolfram Media, 2002; pp. 173-175.
LINKS
MATHEMATICA
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 *)
ArrayPlot /@ CellularAutomaton[{457, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 23]
CROSSREFS
Sequence in context: A216980 A147169 A216167 * A320896 A127989 A147337
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Aug 30 2014
STATUS
approved

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Last modified April 22 19:22 EDT 2024. Contains 371906 sequences. (Running on oeis4.)