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A246318 Total number of ON cells at stage 2n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 451". 12
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 (list; graph; refs; listen; history; text; internal format)
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[{ 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]

CROSSREFS

Cf. A169699, A246316.

Sequence in context: A020190 A225507 A135187 * A277715 A173391 A259243

Adjacent sequences:  A246315 A246316 A246317 * A246319 A246320 A246321

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Aug 27 2014

STATUS

approved

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Last modified June 17 19:10 EDT 2019. Contains 324198 sequences. (Running on oeis4.)