A169705 Total number of ON cells at stage n of two-dimensional cellular automaton defined by "Rule 494".

1, 5, 8, 21, 24, 37, 52, 85, 84, 97, 124, 129, 160, 217, 260, 309, 340, 297, 396, 317, 368, 461, 480, 537, 584, 557, 716, 705, 808, 997, 1112, 1245, 1256, 1105, 1332, 1209, 1320, 1353, 1452, 1401, 1468, 1545, 1628, 1641, 1776, 1905, 2052, 2209, 2160, 2037, 2392

Offset

0,2

Comments

Initialized with a single black (ON) cell at stage zero. - Robert Price, May 02 2016

References

S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 170.

Links

Robert Price, Table of n, a(n) for n = 0..128

Robert Price, Diagrams of the first 20 stages

N. H. Packard and S. Wolfram, Two-Dimensional Cellular Automata, Journal of Statistical Physics, 38 (1985), 901-946.

N. J. A. Sloane, On the Number of ON Cells in Cellular Automata, arXiv:1503.01168 [math.CO], 2015

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

S. Wolfram, A New Kind of Science

Index entries for sequences related to cellular automata

Index to 2D 5-Neighbor Cellular Automata

Index to Elementary Cellular Automata

Mathematica

Map[Function[Apply[Plus, Flatten[ #1]]], CellularAutomaton[{ 494, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 100]]

Crossrefs

Cf. A169706.

Sequence in context: A271156 A272115 A268195 * A138810 A331700 A105634

Adjacent sequences: A169702 A169703 A169704 * A169706 A169707 A169708

Keyword

nonn

Author

N. J. A. Sloane, Apr 17 2010

Status

approved