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 A253086 Number of ON cells at generation n of 5-celled totalistic CA defined by Rule 780. 5
 1, 4, 5, 12, 4, 16, 20, 48, 17, 24, 36, 80, 12, 48, 60, 144, 40, 56, 108, 200, 56, 72, 140, 200, 156, 176, 232, 368, 140, 232, 336, 440, 316, 304, 388, 544, 316, 344, 364, 464, 460, 424, 508, 584, 448, 488, 780, 808, 688, 624, 792, 1120, 736, 784, 860, 1240, 876, 1088, 1100 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS A minor observation: if written as an irregular triangle T(n,k), n>=1, k>=1, in which the row lengths are the powers of 2 greater than 2 we have that T(2,k) = 4*T(1,k) and T(3,k) = 12*T(1,k), but in both cases only for 1<=k<=4. - Omar E. Pol, Feb 14 2015 Equivalent to the following "Rules": 260,268,292,300,388,396,420,428,772,780,804,812,900,908,932,940. - Robert Price, Mar 30 2016 REFERENCES S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 170. LINKS N. J. A. Sloane, Table of n, a(n) for n = 0..511 N. J. A. Sloane, Illustration of generations 0-15 N. J. A. Sloane, Illustration of generations 0-31 N. J. A. Sloane, On the Number of ON Cells in Cellular Automata, arXiv:1503.01168, 2015 FORMULA It would be nice to have a recurrence. MATHEMATICA Map[Function[Apply[Plus, Flatten[#1]]], CellularAutomaton[{780, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 128]] ArrayPlot /@ CellularAutomaton[{780, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 31] CROSSREFS Cf. A246310 (8-neighbor analog), A253087. Sequence in context: A251240 A305041 A316731 * A260624 A067371 A068719 Adjacent sequences:  A253083 A253084 A253085 * A253087 A253088 A253089 KEYWORD nonn AUTHOR N. J. A. Sloane, Feb 11 2015 STATUS approved

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Last modified September 24 03:26 EDT 2021. Contains 347623 sequences. (Running on oeis4.)