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