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 A269568 First difference of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 622", based on the 5-celled von Neumann neighborhood. 1
 4, 4, 12, 4, 12, 20, 12, 20, 12, 20, 12, 36, 36, 52, 52, 52, -28, 44, 4, 4, 76, 4, 44, 92, 52, 44, 84, 108, -44, 252, -20, 276, -148, 100, 44, -4, 12, -36, 116, 116, 36, 12, 108, 20, 84, 124, 132, 292, -180, 212, -12, 132, 12, 300, 228, 52, 196, 148, 36, 276 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Initialized with a single black (ON) cell at stage zero. REFERENCES S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 170. LINKS Robert Price, Table of n, a(n) for n = 0..299 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 MATHEMATICA rule=622; 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 *) Table[on[[i+1]]-on[[i]], {i, 1, Length[on]-1}] CROSSREFS Cf. A269522. Sequence in context: A151836 A147582 A162793 * A169708 A256261 A256251 Adjacent sequences:  A269565 A269566 A269567 * A269569 A269570 A269571 KEYWORD sign,easy AUTHOR Robert Price, Feb 29 2016 STATUS approved

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Last modified December 2 13:15 EST 2021. Contains 349444 sequences. (Running on oeis4.)