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A269754
Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 30", based on the 5-celled von Neumann neighborhood.
0
1, 5, 16, 44, 244, 1060, 4368, 15464, 62400, 244004, 975416, 3897600, 15566124, 62168524, 248974720, 996841660
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 *)
on=Map[Function[Apply[Plus, Flatten[#1]]], ca] (* Count ON cells at each stage *)
Part[on, 2^Range[0, Log[2, stages]]] (* Extract relevant terms *)
CROSSREFS
Cf. A269753.
Sequence in context: A048777 A300961 A270134 * A282425 A185003 A189390
KEYWORD
nonn,more
AUTHOR
Robert Price, Mar 04 2016
EXTENSIONS
a(9)-a(15) from Lars Blomberg, Apr 15 2016
STATUS
approved