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A169701
Total number of ON cells at stage n of two-dimensional cellular automaton defined by "Rule 374".
4
1, 5, 8, 24, 25, 53, 36, 92, 88, 169, 72, 168, 148, 292, 156, 381, 296, 448, 360, 508, 496, 708, 429, 752, 744, 872, 701, 1144, 889, 1152, 969, 1365, 1156, 1688, 1269, 1573, 1680, 1824, 1692, 1933, 1980, 2177, 2188, 2213, 2512, 2569, 2532, 2885, 2648, 3273, 3049
OFFSET
0,2
REFERENCES
S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 170.
LINKS
N. H. Packard and S. Wolfram, Two-Dimensional Cellular Automata, Journal of Statistical Physics, 38 (1985), 901-946.
N. J. A. Sloane, On the Number of ON Cells in Cellular Automata, arXiv:1503.01168 [math.CO], 2015
Eric Weisstein's World of Mathematics, Elementary Cellular Automaton
MATHEMATICA
Map[Function[Apply[Plus, Flatten[ #1]]], CellularAutomaton[{ 374, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 100]]
CROSSREFS
Cf. A169702.
Sequence in context: A270905 A253078 A270185 * A271008 A272577 A140113
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Apr 17 2010
STATUS
approved