%N Number of toothpicks added at n-th stage to the toothpick structure of A183126.
%C Essentially the first differences of A183126.
%H David Applegate, Omar E. Pol and N. J. A. Sloane, <a href="http://neilsloane.com/doc/tooth.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>
%F a(n) = 4*(1 + 3^A000120(n-2)), n >= 3. - Nathaniel Johnston, Apr 06 2011
%Y Cf. A139250, A139251, A160173, A161411, A183126, A183149.
%A _Omar E. Pol_, Mar 28 2011
%E Terms a(0) - a(10) confirmed and terms a(11) - a(35) added by _John W. Layman_, Mar 30 2011
%E a(36) - a(47) from _Nathaniel Johnston_, Apr 06 2011