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A246325
Total number of ON cells at stage 2n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 453".
11
1, 5, 17, 29, 49, 61, 93, 149, 117, 197, 237, 229, 285, 297, 409, 441, 537, 485, 677, 733, 865, 793, 881, 877, 1097, 1301, 1233, 1529, 1461, 1533, 1633, 1869, 1881, 2149, 2185, 2393, 2677, 2801, 2681, 2881, 2921, 3089, 3193, 3521, 3561, 4041, 4137, 3985, 4161, 4417, 4433, 4601, 4865, 4981, 5041, 5381, 5917, 5897, 6209, 6453, 6337, 6593, 7293, 7049, 7493
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[{ 453, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 130]] (* then take every other term *)
ArrayPlot /@ CellularAutomaton[{453, {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