A246325 Total number of ON cells at stage 2n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 453".

1, 5, 17, 29, 49, 61, 93, 149, 117, 197, 237, 229, 285, 297, 409, 441, 537, 485, 677, 733, 865, 793, 881, 877, 1097, 1301, 1233, 1529, 1461, 1533, 1633, 1869, 1881, 2149, 2185, 2393, 2677, 2801, 2681, 2881, 2921, 3089, 3193, 3521, 3561, 4041, 4137, 3985, 4161, 4417, 4433, 4601, 4865, 4981, 5041, 5381, 5917, 5897, 6209, 6453, 6337, 6593, 7293, 7049, 7493

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..64.

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[{ 453, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 130]] (* then take every other term *)
ArrayPlot /@ CellularAutomaton[{453, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 23]

Crossrefs

Cf. A169699, A246316, A246318.

Sequence in context: A146278 A034937 A024351 * A086523 A220082 A207337

Adjacent sequences: A246322 A246323 A246324 * A246326 A246327 A246328

Keyword

nonn

Author

N. J. A. Sloane, Aug 30 2014

Status

approved