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

0,2

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

Table of n, a(n) for n=0..50.

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

Mathematica

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

Crossrefs

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

Sequence in context: A273642 A169649 A273739 * A269523 A319384 A211427

Adjacent sequences: A169706 A169707 A169708 * A169710 A169711 A169712

Keyword

nonn

Author

N. J. A. Sloane, Apr 17 2010

Status

approved