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%I #11 Feb 24 2021 02:48:18
%S 0,1,4,8,8,24,32,32,56,80,80,88,112,160,168,240,224,344,320,320,344,
%T 448,528,536,704,704,872,736,880,840,1024,1088,1256,1328,1392,1416,
%U 1440,1504,1656
%N First differences of X-toothpicks numbers A160170.
%C Number of X-toothpicks added at n-th stage to the three-dimensional X-toothpick structure of A160170.
%C For another version see A170875.
%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="/wiki/Catalog_of_Toothpick_and_CA_Sequences_in_OEIS">Catalog of Toothpick and Cellular Automata Sequences in the OEIS</a>
%H <a href="/index/To#toothpick">Index entries for sequences related to toothpick sequences</a>
%Y X-toothpick sequence: A160170.
%Y Cf. A139250, A139251, A160120, A160121, A160160, A160161, A170875.
%K nonn
%O 0,3
%A _Omar E. Pol_, May 03 2009, Dec 13 2010
%E More terms (a(6)-a(38)) based on Email from _R. J. Mathar_ dated on Jan 10 2010.
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