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 A269543 Partial Sums of the 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. 0
 1, 6, 15, 36, 65, 110, 175, 264, 389, 522, 683, 864, 1077, 1338, 1615, 1948, 2293, 2786, 3307, 3880, 4457, 5110, 5783, 6568, 7377, 8282, 9291, 10324, 11321, 12522, 13715, 15072, 16461, 18202, 19763, 21628, 23441, 25454, 27443, 29664, 31821, 34178, 36571 (list; graph; refs; listen; history; text; internal format)
 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. LINKS 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=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 *) on=Map[Function[Apply[Plus, Flatten[#1]]], ca]; (* Count ON cells at each stage *) Table[Total[Part[on, Range[1, i]]], {i, 1, Length[on]}] CROSSREFS Cf. A269523. Sequence in context: A273741 A273861 A074132 * A074149 A273411 A273490 Adjacent sequences:  A269540 A269541 A269542 * A269544 A269545 A269546 KEYWORD nonn,easy AUTHOR Robert Price, Mar 01 2016 STATUS approved

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Last modified December 7 05:14 EST 2019. Contains 329839 sequences. (Running on oeis4.)