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A169705
Total number of ON cells at stage n of two-dimensional cellular automaton defined by "Rule 494".
4
1, 5, 8, 21, 24, 37, 52, 85, 84, 97, 124, 129, 160, 217, 260, 309, 340, 297, 396, 317, 368, 461, 480, 537, 584, 557, 716, 705, 808, 997, 1112, 1245, 1256, 1105, 1332, 1209, 1320, 1353, 1452, 1401, 1468, 1545, 1628, 1641, 1776, 1905, 2052, 2209, 2160, 2037, 2392
OFFSET
0,2
COMMENTS
Initialized with a single black (ON) cell at stage zero. - Robert Price, May 02 2016
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[{ 494, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 100]]
CROSSREFS
Cf. A169706.
Sequence in context: A271156 A272115 A268195 * A138810 A331700 A105634
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Apr 17 2010
STATUS
approved