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A151776
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Number of ON states after n generations of cellular automaton based on f.c.c. lattice with each cell adjacent to its twelve neighbors.
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4
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0, 1, 13, 25, 109, 121, 205, 385, 805, 817, 901, 1081, 1645, 2185, 2605, 3721, 5749, 5857, 5941, 6121, 6685, 7225, 7789, 9289, 12565, 14401, 14821, 15937, 18877, 23257, 25981, 32233, 42445, 43729, 44101, 44521
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| We take the f.c.c. lattice to consist of the points (X,Y,Z) of Z^3 with X+Y+Z even.
We start with a single ON cell at the origin.
A cell is turned ON if exactly one of its twelve neighbors is ON. An ON cell remains ON for ever.
Analog of A147562, which is corresponding sequence for the square lattice Z^2.
If we just look at what happens in the (X,Y)-plane, we get A147552 and A151836.
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LINKS
| Nathaniel Johnston, Table of n, a(n) for n = 0..68
David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata
Nathaniel Johnston, C script
N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS
Index entries for sequences related to f.c.c. lattice
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CROSSREFS
| Cf. A151777, A151778, A147562, A151725, A139250.
Sequence in context: A163551 A005696 A147145 * A116524 A053404 A122003
Adjacent sequences: A151773 A151774 A151775 * A151777 A151778 A151779
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jun 24 2009
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EXTENSIONS
| Terms after a(30) from Nathaniel Johnston (nathaniel(AT)nathanieljohnston.com), Mar 27 2011
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