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
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
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
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Feb 12 2015
STATUS
approved