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%I #17 Oct 10 2022 09:38:08
%S 0,1,4,4,4,12,4,12,12,12,20,12,20,28,4,12,12,12,28,20,28,36,36,52,44,
%T 52,52,12,28,28,28,44,44,44,76,68,84,44,52,60,52,60,52,28,60,60,68,
%U 100,44,68,84,60,92,84,76,116,84,100,92,60,60,76,92,132,100,84
%N Number of new cells turned ON at generation n in cellular automaton described in A151895.
%C First differences of A151895. See that entry for much more information.
%H David Applegate, <a href="/A151896/b151896.txt">Table of n, a(n) for n = 0..250</a>
%H David Applegate, <a href="/A139250/a139250.anim.html">The movie version</a>
%H David Applegate, <a href="/A151895/a151895_10.pdf">Illustration of first 10 generations</a>
%H David Applegate, <a href="/A151895/a151895_20.pdf">Illustration of first 20 generations</a>
%H David Applegate, <a href="/A151895/a151895_32.pdf">Illustration of first 32 generations</a>
%H David Applegate, <a href="/A151895/a151895_64.pdf">Illustration of first 64 generations</a>
%H 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 N. J. A. Sloane, <a href="/A151895/a151895.jpg">Illustration of initial terms</a> (concentrating on a 90-degree sector)
%H 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>
%F We do not know of a recurrence or generating function.
%Y Cf. A151895, A139250.
%K nonn
%O 0,3
%A _David Applegate_ and _N. J. A. Sloane_, Jul 30 2009
%E Revised by _David Applegate_ and _N. J. A. Sloane_, Jan 21 2016
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