A147552 Consider the cellular automaton based on the f.c.c. lattice described in A151776; sequence gives number of ON cells in generation n that lie in the (x,y) plane.

0, 1, 5, 9, 21, 25, 37, 49, 77, 81, 93, 105, 133, 153, 181, 217, 285, 289, 301, 313, 341, 361, 389, 425, 493, 529, 557, 593, 661, 729, 805, 905, 1077, 1089, 1117, 1129, 1157, 1177, 1205, 1241, 1309, 1345, 1373, 1409, 1477, 1545, 1621, 1721, 1893, 1969, 1997, 2033

Offset

0,3

Comments

First differs from A160720 at a(13).

Links

Rémy Sigrist, Table of n, a(n) for n = 0..1023 (first 69 terms from Nathaniel Johnston)

David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata, Congressus Numerantium, Vol. 206 (2010), 157-191. [There is a typo in Theorem 6: (13) should read u(n) = 4.3^(wt(n-1)-1) for n >= 2.]

Nathaniel Johnston, C script

Rémy Sigrist, Interactive scatterplot of the cells turned ON at generation 129 [provided your web browser supports the Plotly library, you should see icons on the top right corner of the page: if you choose "Orbital rotation", then you will be able to rotate the plot alongside three axes]

Rémy Sigrist, C++ program for A147552

N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS

Prog

(C++) See Links section.

Crossrefs

Cf. A151776, A151836 (first differences), A139250.

Sequence in context: A211424 A211428 A160720 * A299776 A147562 A162795

Adjacent sequences: A147549 A147550 A147551 * A147553 A147554 A147555

Keyword

nonn

Author

N. J. A. Sloane, Jul 13 2009

Extensions

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

Status

approved