A246327 Total number of ON cells at stage 2n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 457".

1, 9, 21, 57, 65, 81, 97, 165, 233, 221, 277, 361, 425, 441, 585, 777, 905, 777, 933, 1045, 1173, 1225, 1593, 1833, 1981, 1725, 1757, 2429, 2365, 2701, 2881, 3093, 3361, 3345, 3353, 3397, 3861, 4057, 4421, 4549, 4765, 5053, 5373, 5713, 5685, 5769, 6161, 6933, 7325, 7029, 7533, 7757, 8329, 7853

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[{ 457, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 130]] (* then take every other term *)
ArrayPlot /@ CellularAutomaton[{457, {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: A372664 A147169 A216167 * A320896 A127989 A147337

Adjacent sequences: A246324 A246325 A246326 * A246328 A246329 A246330

Keyword

nonn

Author

N. J. A. Sloane, Aug 30 2014

Status

approved