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A269523
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Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 630", based on the 5-celled von Neumann neighborhood.
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3
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1, 5, 9, 21, 29, 45, 65, 89, 125, 133, 161, 181, 213, 261, 277, 333, 345, 493, 521, 573, 577, 653, 673, 785, 809, 905, 1009, 1033, 997, 1201, 1193, 1357, 1389, 1741, 1561, 1865, 1813, 2013, 1989, 2221, 2157, 2357, 2393, 2581, 2549, 2833, 3005, 2981, 3241
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OFFSET
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0,2
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COMMENTS
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Initialized with a single black (ON) cell at stage zero.
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REFERENCES
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S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 170.
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LINKS
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Table of n, a(n) for n=0..48.
N. J. A. Sloane, On the Number of ON Cells in Cellular Automata, arXiv:1503.01168, 2015
Eric Weisstein's World of Mathematics, Elementary Cellular Automaton
S. Wolfram, A New Kind of Science
Index entries for sequences related to cellular automata
Index to 2D 5-Neighbor Cellular Automata
Index to Elementary Cellular Automata
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MATHEMATICA
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rule=630; 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 *)
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CROSSREFS
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Sequence in context: A169649 A273739 A169709 * A319384 A211427 A273410
Adjacent sequences: A269520 A269521 A269522 * A269524 A269525 A269526
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KEYWORD
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nonn,easy
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AUTHOR
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Robert Price, Feb 28 2016
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STATUS
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approved
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