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A253090 Number of ON cells at generation n of 9-celled totalistic CA defined by Rule 614. 3
1, 9, 8, 32, 16, 88, 16, 104, 16, 136, 72, 312, 56, 360, 76, 468, 76, 444, 156, 708, 152, 928, 164, 996, 156, 924, 292, 1316, 256, 1520, 348, 1676, 304, 1768, 400, 1928, 408, 2040, 524, 2628, 516, 2684, 688, 3272, 744, 3872, 684, 3692, 756, 3724, 840, 4080 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

A cell turns ON at generation n iff it was OFF at generation n-1 and exactly 1 or 3 of its 8 neighbors were ON, or if it was ON and exactly 0, 2 or 4 of its 8 neighbors were ON.

Note that although A072272 is an "odd-rule" CA, this one is not.

LINKS

Table of n, a(n) for n=0..51.

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

N. J. A. Sloane, Illustration of generation 31

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[{614, {2, {{2, 2, 2}, {2, 1, 2}, {2, 2, 2}}}, {1, 1}}, {{{1}}, 0}, 66]]

ArrayPlot /@ CellularAutomaton[{614, {2, {{2, 2, 2}, {2, 1, 2}, {2, 2, 2}}}, {1, 1}}, {{{1}}, 0}, 15]

CROSSREFS

Cf. A072272 (5-neighbor analog).

Sequence in context: A264301 A251091 A159078 * A154226 A177187 A030027

Adjacent sequences:  A253087 A253088 A253089 * A253091 A253092 A253093

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Feb 12 2015

STATUS

approved

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Last modified November 11 16:07 EST 2019. Contains 329019 sequences. (Running on oeis4.)