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A269753
Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 30", based on the 5-celled von Neumann neighborhood.
4
1, 5, 12, 16, 36, 24, 60, 44, 116, 44, 128, 120, 200, 144, 260, 244, 296, 268, 368, 392, 388, 384, 492, 592, 564, 504, 756, 792, 756, 712, 892, 1060, 836, 876, 1152, 1300, 1224, 1092, 1312, 1688, 1396, 1312, 1784, 1976, 1676, 1644, 1984, 2328, 2088, 1852
OFFSET
0,2
COMMENTS
Initialized with a single black (ON) cell at stage zero.
REFERENCES
S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 170.
MATHEMATICA
rule=30; stages=300;
ca=CellularAutomaton[{rule, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, stages]; (* Start with single black cell *)
Map[Function[Apply[Plus, Flatten[#1]]], ca] (* Count ON cells at each stage *)
CROSSREFS
Sequence in context: A008467 A076718 A076671 * A270133 A314284 A293034
KEYWORD
nonn,easy
AUTHOR
Robert Price, Mar 04 2016
STATUS
approved