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 A253090 Number of ON cells at generation n of 9-celled totalistic CA defined by Rule 614. 3
 1, 9, 8, 32, 16, 88, 16, 104, 16, 136, 72, 312, 56, 360, 76, 468, 76, 444, 156, 708, 152, 928, 164, 996, 156, 924, 292, 1316, 256, 1520, 348, 1676, 304, 1768, 400, 1928, 408, 2040, 524, 2628, 516, 2684, 688, 3272, 744, 3872, 684, 3692, 756, 3724, 840, 4080 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS A cell turns ON at generation n iff it was OFF at generation n-1 and exactly 1 or 3 of its 8 neighbors were ON, or if it was ON and exactly 0, 2 or 4 of its 8 neighbors were ON. Note that although A072272 is an "odd-rule" CA, this one is not. LINKS Table of n, a(n) for n=0..51. N. J. A. Sloane, Illustration of generations 0-15 N. J. A. Sloane, Illustration of generation 31 N. J. A. Sloane, On the Number of ON Cells in Cellular Automata, arXiv:1503.01168, 2015 Index entries for sequences related to cellular automata FORMULA It would be nice to have a recurrence. MATHEMATICA Map[Function[Apply[Plus, Flatten[#1]]], CellularAutomaton[{614, {2, {{2, 2, 2}, {2, 1, 2}, {2, 2, 2}}}, {1, 1}}, {{{1}}, 0}, 66]] ArrayPlot /@ CellularAutomaton[{614, {2, {{2, 2, 2}, {2, 1, 2}, {2, 2, 2}}}, {1, 1}}, {{{1}}, 0}, 15] CROSSREFS Cf. A072272 (5-neighbor analog). Sequence in context: A264301 A251091 A159078 * A154226 A177187 A030027 Adjacent sequences: A253087 A253088 A253089 * A253091 A253092 A253093 KEYWORD nonn AUTHOR N. J. A. Sloane, Feb 12 2015 STATUS approved

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Last modified June 20 13:44 EDT 2024. Contains 373527 sequences. (Running on oeis4.)