A246328 Total number of ON cells at stage 2n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 459".

1, 9, 25, 32, 101, 57, 156, 153, 309, 185, 389, 345, 613, 460, 669, 721, 1120, 961, 965, 1104, 1337, 1237, 1500, 1524, 2136, 1824, 2232, 2260, 2640, 2649, 2736, 3092, 3689, 3144, 3688, 3932, 3937, 4228, 4488, 5013, 5112, 5012, 5748, 5945, 6440, 6216, 7073, 7396, 7932, 7412, 8201, 8348, 8696, 9237

Offset

0,2

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

Table of n, a(n) for n=0..53.

N. J. A. Sloane, Illustration of first 24 generations

Index entries for sequences related to cellular automata

Mathematica

Map[Function[Apply[Plus, Flatten[ #1]]], CellularAutomaton[{ 459, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 130]] (* then take every other term *)
ArrayPlot /@ CellularAutomaton[{459, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 23]

Crossrefs

Cf. A169699, A246316, A246318, A246325, A246326, ...

Sequence in context: A068529 A096059 A326742 * A065772 A305755 A090333

Adjacent sequences: A246325 A246326 A246327 * A246329 A246330 A246331

Keyword

nonn

Author

N. J. A. Sloane, Aug 30 2014

Status

approved