A246318 Total number of ON cells at stage 2n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 451".

1, 9, 21, 45, 93, 117, 173, 205, 293, 225, 145, 369, 609, 597, 661, 789, 1033, 845, 685, 1157, 1185, 1245, 1629, 1669, 1601, 1881, 1857, 1957, 2485, 2885, 2565, 2497, 3541, 3113, 2561, 3401, 3393, 3633, 3801, 4505, 4189, 4049, 4941, 5717, 5197, 5861, 6337, 6105, 7085, 6640, 6212, 7280, 7408, 7580

Offset: 0

Author

N. J. A. Sloane, Aug 27 2014

Keywords

• nonn

Comments

The number of ON cells at stage 2n+1 is infinite.

References

• S. Wolfram, A New Kind of Science, Wolfram Media, 2002; pp. 173-175.

Links

• N. J. A. Sloane, Illustration of first 24 generations
• Index entries for sequences related to cellular automata

Crossrefs

Cf. A169699, A246316.

Programs

Mathematica

Map[Function[Apply[Plus, Flatten[ #1]]], CellularAutomaton[{ 451, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 130]] (* then take every other term *)
ArrayPlot /@ CellularAutomaton[{451, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 23]