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Search: id:A151776
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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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+0
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
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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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
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Index entries for sequences related to f.c.c. lattice
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CROSSREFS
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Cf. A151777, A151778, A147562, A151725, A139250, A147562.
Adjacent sequences: A151773 A151774 A151775 this_sequence A151777 A151778 A151779
Sequence in context: A163551 A005696 A147145 this_sequence A116524 A053404 A122003
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KEYWORD
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nonn,more
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Jun 24 2009
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