cp's OEIS Frontend

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.

%I A147552 #23 Jan 08 2022 12:09:56
%S A147552 0,1,5,9,21,25,37,49,77,81,93,105,133,153,181,217,285,289,301,313,341,
%T A147552 361,389,425,493,529,557,593,661,729,805,905,1077,1089,1117,1129,1157,
%U A147552 1177,1205,1241,1309,1345,1373,1409,1477,1545,1621,1721,1893,1969,1997,2033
%N 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.
%C A147552 First differs from A160720 at a(13).
%H A147552 Rémy Sigrist, <a href="/A147552/b147552.txt">Table of n, a(n) for n = 0..1023</a> (first 69 terms from Nathaniel Johnston)
%H A147552 David Applegate, Omar E. Pol and N. J. A. Sloane, <a href="/A000695/a000695_1.pdf">The Toothpick Sequence and Other Sequences from Cellular Automata</a>, 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.]
%H A147552 Nathaniel Johnston, <a href="/A147552/a147552.c.txt">C script</a>
%H A147552 Rémy Sigrist, <a href="https://practical-ardinghelli-959d8f.netlify.app/a147552">Interactive scatterplot of the cells turned ON at generation 129</a> [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]
%H A147552 Rémy Sigrist, <a href="/A147552/a147552.txt">C++ program for A147552</a>
%H A147552 N. J. A. Sloane, <a href="/wiki/Catalog_of_Toothpick_and_CA_Sequences_in_OEIS">Catalog of Toothpick and Cellular Automata Sequences in the OEIS</a>
%o A147552 (C++) See Links section.
%Y A147552 Cf. A151776, A151836 (first differences), A139250.
%K A147552 nonn
%O A147552 0,3
%A A147552 _N. J. A. Sloane_, Jul 13 2009
%E A147552 Terms after a(30) from _Nathaniel Johnston_, Mar 27 2011