

A169649


Total number of cells that are ON at stage n in Wolfram's 2D cellular automaton defined by Rule 942.


4



0, 1, 5, 9, 21, 29, 41, 53, 89, 117, 129, 141, 177, 205, 241, 277, 385, 485, 497, 509, 545, 573, 609, 645, 753, 845, 881, 917, 1025, 1109, 1217, 1325, 1649, 1989, 2001, 2013, 2049, 2077, 2113, 2149, 2257, 2349, 2385, 2421, 2529, 2613, 2721, 2829
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,3


COMMENTS

We work on the square grid. A cell is turned ON iff exactly one or four of its four neighbors is ON. Once a cell is ON it stays ON. At stage 1 all cells are OFF. At stage 0 a single cell is turned ON.


REFERENCES

S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 928.


LINKS



MATHEMATICA

Map[Function[Apply[Plus, Flatten[ #1]]], CellularAutomaton[{ 942, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 100]]
ArrayPlot /@ CellularAutomaton[{942, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 23]


CROSSREFS



KEYWORD

nonn


AUTHOR



EXTENSIONS



STATUS

approved



