A253089 Number of ON cells at generation n of 9-celled totalistic CA defined by Rule 510.

1, 9, 20, 29, 69, 44, 112, 84, 228, 81, 253, 240, 361, 329, 408, 436, 552, 544, 656, 852, 748, 752, 1040, 1173, 1097, 928, 1389, 1857, 1208, 1244, 1664, 2457, 1448, 1636, 2028, 2732, 2164, 1957, 2841, 3204, 2849, 2301, 3504, 3869, 3548, 2756, 4140, 4509, 4060, 3388

Offset: 0

Author

N. J. A. Sloane, Feb 12 2015

Keywords

• nonn

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. A169699 (5-neighbor analog).

Programs

Mathematica

Map[Function[Apply[Plus, Flatten[#1]]],
CellularAutomaton[{510, {2, {{2, 2, 2}, {2, 1, 2}, {2, 2, 2}}}, {1, 1}}, {{{1}}, 0}, 66]]
ArrayPlot /@ CellularAutomaton[{510, {2, {{2, 2, 2}, {2, 1, 2}, {2, 2, 2}}}, {1, 1}}, {{{1}}, 0}, 15]

Formula

It would be nice to have a recurrence.