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%I #11 Feb 24 2021 02:48:18
%S 1,3,3,3,4,6,5,3,4,6,6,7,10,11,7,3,4,6,6,7,10,11,8,7,10,12,13,17,21,
%T 18,9,3,4,6,6,7,10,11,8,7,10,12,13,17,21,18,10,7,10,12,13,17,21,19,15,
%U 17,22,25,30,38,39,27,11,3,4,6,6,7,10,11,8,7,10,12,13,17,21,18,10,7,10,12,13
%N G.f.: (1 + 2x) * Product_{n>=1} (1 + x^(2^n-1) + x^(2^n)).
%H N. J. A. Sloane, <a href="/A151554/b151554.txt">Table of n, a(n) for n = 0..16383</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="/wiki/Catalog_of_Toothpick_and_CA_Sequences_in_OEIS">Catalog of Toothpick and Cellular Automata Sequences in the OEIS</a>
%Y Cf. A139250, A151550, A151551, A151552, A151553.
%K nonn
%O 0,2
%A _N. J. A. Sloane_, May 20 2009
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