A169709 Total number of ON cells at stage n of two-dimensional cellular automaton defined by "Rule 1006".

1, 5, 9, 21, 29, 41, 61, 89, 101, 113, 133, 161, 189, 233, 309, 377, 397, 409, 429, 457, 485, 529, 605, 673, 709, 753, 821, 905, 1005, 1169, 1413, 1569, 1605, 1617, 1637, 1665, 1693, 1737, 1813, 1881, 1917, 1961, 2029, 2113, 2213, 2377, 2621, 2777, 2829, 2873, 2941

Offset: 0

Author

N. J. A. Sloane, Apr 17 2010

Keywords

• nonn

Comments

Square grid, 4 neighbors per cell, turn ON iff exactly 1, 3 or 4 neighbors are ON; once ON, cells stay ON.

References

• S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 928.

Links

• David Applegate, The movie version
• N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS
• Index entries for sequences related to cellular automata

Crossrefs

Cf. A139250, A151725, A147562, A147582, A169648, A169649, A169707, A169708, A169710.

Programs

Mathematica

Map[Function[Apply[Plus,Flatten[ #1]]], CellularAutomaton[{ 1006, {2,{{0,2,0},{2,1,2},{0,2,0}}},{1,1}},{{{1}},0},100]]