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

Author

N. J. A. Sloane, Feb 12 2015

Keywords

• nonn
• look

Comments

The keyword "look" refers to the illustration.

Links

• 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

Crossrefs

Cf. A169707 (5-neighbor analog).

Programs

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]

Formula

It would be nice to have a recurrence.