A169701 Total number of ON cells at stage n of two-dimensional cellular automaton defined by "Rule 374".

1, 5, 8, 24, 25, 53, 36, 92, 88, 169, 72, 168, 148, 292, 156, 381, 296, 448, 360, 508, 496, 708, 429, 752, 744, 872, 701, 1144, 889, 1152, 969, 1365, 1156, 1688, 1269, 1573, 1680, 1824, 1692, 1933, 1980, 2177, 2188, 2213, 2512, 2569, 2532, 2885, 2648, 3273, 3049

Offset

0,2

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

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

Robert Price, Diagrams of the first 20 stages

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[{ 374, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 100]]

Crossrefs

Cf. A169702.

Sequence in context: A270905 A253078 A270185 * A271008 A272577 A140113

Adjacent sequences: A169698 A169699 A169700 * A169702 A169703 A169704

Keyword

nonn

Author

N. J. A. Sloane, Apr 17 2010

Status

approved