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 A246331 Total number of ON cells at stage 2n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 465". 2
 1, 9, 25, 49, 89, 113, 161, 233, 345, 369, 417, 489, 609, 681, 825, 1041, 1369, 1393, 1441, 1513, 1633, 1705, 1849, 2065, 2401, 2473, 2617, 2833, 3193, 3409, 3841, 4489, 5465, 5489, 5537, 5609, 5729, 5801, 5945, 6161, 6497, 6569, 6713, 6929, 7289, 7505, 7937 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The number of ON cells at stage 2n+1 is infinite. This is a bisection of A147562. The sequence b(n) defined by b(n) = number of ON cells at stage n if n is even, b(n) = number of OFF cells at stage n if n is odd coincides with A147562, and has a simple formula. REFERENCES S. Wolfram, A New Kind of Science, Wolfram Media, 2002; pp. 173-175. LINKS N. J. A. Sloane, Illustration of first 24 generations N. J. A. Sloane, On the Number of ON Cells in Cellular Automata, arXiv:1503.01168, 2015 MATHEMATICA Map[Function[Apply[Plus, Flatten[ #1]]], CellularAutomaton[{ 465, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 130]] (* then take every other term *) ArrayPlot /@ CellularAutomaton[{465, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 23] CROSSREFS Cf. A147562, A169699, A246316, A246318, A246325, A246326, ... Sequence in context: A030156 A192775 A318737 * A141768 A176970 A110284 Adjacent sequences:  A246328 A246329 A246330 * A246332 A246333 A246334 KEYWORD nonn AUTHOR N. J. A. Sloane, Aug 30 2014 STATUS approved

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Last modified October 22 12:22 EDT 2018. Contains 316446 sequences. (Running on oeis4.)