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a(n) = A160714(n)*4.
2

%I #10 Feb 24 2021 02:48:18

%S 0,4,8,20,24,36,48,84,88,100,112,148,160,196,232,340,448,452

%N a(n) = A160714(n)*4.

%C The sequence gives the number of T-toothpicks in the structure after n rounds.

%C See A160172 and A160714 for more information about T-toothpick sequences.

%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, A160172, A160173, A160714, A160716, A160724.

%K nonn,more

%O 0,2

%A _Omar E. Pol_, Jun 02 2009

%E a(9)-a(17) from 4*A160714(n) by _Jinyuan Wang_, Mar 14 2020