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A246328
Total number of ON cells at stage 2n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 459".
1
1, 9, 25, 32, 101, 57, 156, 153, 309, 185, 389, 345, 613, 460, 669, 721, 1120, 961, 965, 1104, 1337, 1237, 1500, 1524, 2136, 1824, 2232, 2260, 2640, 2649, 2736, 3092, 3689, 3144, 3688, 3932, 3937, 4228, 4488, 5013, 5112, 5012, 5748, 5945, 6440, 6216, 7073, 7396, 7932, 7412, 8201, 8348, 8696, 9237
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.
MATHEMATICA
Map[Function[Apply[Plus, Flatten[ #1]]], CellularAutomaton[{ 459, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 130]] (* then take every other term *)
ArrayPlot /@ CellularAutomaton[{459, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 23]
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Aug 30 2014
STATUS
approved