A253088 Number of ON cells at generation n of 9-celled totalistic CA defined by Rule 750.

1, 9, 12, 40, 24, 88, 48, 148, 80, 164, 172, 296, 236, 380, 324, 500, 436, 552, 552, 644, 688, 936, 788, 1168, 928, 1296, 1044, 1444, 1352, 1768, 1576, 2136, 1728, 2116, 1992, 2264, 2288, 2604, 2536, 3056, 2812, 3380, 3112, 3864, 3484, 4204, 3836, 4764, 4120, 4748, 4456

Offset

0,2

Comments

The keyword "look" refers to the illustration.

Links

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

N. J. A. Sloane, Illustration of generations 0-15

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

Index entries for sequences related to cellular automata

Formula

It would be nice to have a recurrence.

Mathematica

Map[Function[Apply[Plus, Flatten[#1]]],
CellularAutomaton[{750, {2, {{2, 2, 2}, {2, 1, 2}, {2, 2, 2}}}, {1, 1}}, {{{1}}, 0}, 66]]
ArrayPlot /@ CellularAutomaton[{750, {2, {{2, 2, 2}, {2, 1, 2}, {2, 2, 2}}}, {1, 1}}, {{{1}}, 0}, 15]

Crossrefs

Cf. A169707 (5-neighbor analog).

Sequence in context: A024312 A024877 A120991 * A341208 A328120 A072308

Adjacent sequences: A253085 A253086 A253087 * A253089 A253090 A253091

Keyword

nonn,look

Author

N. J. A. Sloane, Feb 12 2015

Status

approved