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a(n) = A160161(n+1)/2.
1

%I #7 Feb 24 2021 02:48:18

%S 1,2,4,4,4,4,8,16,28,16,8,4,8,16,28,28,32,40,76,116,176,72,24,16,12,

%T 20,28,28,32,40,76,116,176,108,84,88,136,180,248,224,268,332,584,744,

%U 1000,384,152,168,132,96,56,60,64,56,84,120,176,108,84,88,136,180,248,224

%N a(n) = A160161(n+1)/2.

%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, A139251, A160160, A160161, A162799.

%K nonn

%O 1,2

%A _Omar E. Pol_, Jul 28 2009