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A169709
Total number of ON cells at stage n of two-dimensional cellular automaton defined by "Rule 1006".
5
1, 5, 9, 21, 29, 41, 61, 89, 101, 113, 133, 161, 189, 233, 309, 377, 397, 409, 429, 457, 485, 529, 605, 673, 709, 753, 821, 905, 1005, 1169, 1413, 1569, 1605, 1617, 1637, 1665, 1693, 1737, 1813, 1881, 1917, 1961, 2029, 2113, 2213, 2377, 2621, 2777, 2829, 2873, 2941
OFFSET
0,2
COMMENTS
Square grid, 4 neighbors per cell, turn ON iff exactly 1, 3 or 4 neighbors are ON; once ON, cells stay ON.
REFERENCES
S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 928.
MATHEMATICA
Map[Function[Apply[Plus, Flatten[ #1]]], CellularAutomaton[{ 1006, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 100]]
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Apr 17 2010
STATUS
approved