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A151776 Number of ON states after n generations of cellular automaton based on f.c.c. lattice with each cell adjacent to its twelve neighbors. 4
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; text; internal format)
OFFSET

0,3

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.

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

CROSSREFS

Cf. A151777, A151778, A147562, A151725, A139250.

Sequence in context: A283174 A298037 A283255 * A116524 A053404 A295794

Adjacent sequences:  A151773 A151774 A151775 * A151777 A151778 A151779

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jun 24 2009

EXTENSIONS

Terms after a(30) from Nathaniel Johnston, Mar 27 2011

STATUS

approved

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Last modified February 22 21:45 EST 2018. Contains 299469 sequences. (Running on oeis4.)