A246329 Total number of ON cells at stage 2n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 461".

1, 5, 17, 21, 25, 45, 81, 105, 101, 165, 197, 217, 265, 337, 405, 477, 521, 625, 621, 769, 849, 825, 973, 985, 1089, 1257, 1229, 1265, 1401, 1557, 1677, 1713, 2081, 2053, 2177, 2361, 2389, 2669, 2621, 2973, 2901, 3233, 3249, 3529, 3809, 3893, 3765, 3905, 4409, 4657, 4757, 4797, 5321, 5261, 5769, 5757, 5997, 6565, 6597, 6765

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..59.

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[{ 461, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 130]] (* then take every other term *)
ArrayPlot /@ CellularAutomaton[{461, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 23]

Crossrefs

A bisection of A246332.

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

Sequence in context: A061940 A038470 A043003 * A351176 A211423 A211426

Adjacent sequences: A246326 A246327 A246328 * A246330 A246331 A246332

Keyword

nonn

Author

N. J. A. Sloane, Aug 30 2014

Status

approved