cp's OEIS Frontend

A182635 Number of toothpicks added at n-th stage to the toothpick structure of A182634.

%I A182635 #22 Feb 24 2021 02:48:19
%S A182635 0,1,2,4,4,4,8,12,8,4,8,16,20,16,20,28,16,4,8,16,20,20,28,44,44,24,20,
%T A182635 40,56,48,52,64,32,4,8,16,20,20,28,44,44,28,28,52,76,76,76
%N A182635 Number of toothpicks added at n-th stage to the toothpick structure of A182634.
%C A182635 First differences of A182634.
%C A182635 First differs from A139251 at a(11).
%H A182635 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 A182635 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 A182635 <a href="/index/To#toothpick">Index entries for sequences related to toothpick sequences</a>
%H A182635 <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
%F A182635 a(n) = A182633(n)/3.
%e A182635 Contribution from _Omar E. Pol_, Dec 06 2012 (Start):
%e A182635 When written as an irregular triangle begins:
%e A182635 0;
%e A182635 1;
%e A182635 2;
%e A182635 4,4;
%e A182635 4,8,12,8;
%e A182635 4,8,16,20,16,20,28,16;
%e A182635 4,8,16,20,20,28,44,44,24,20,40,56,48,52,64,32;
%e A182635 4,8,16,20,20,28,44,44,28,28,52,76,76,76,...
%e A182635 (End)
%Y A182635 Cf. A139250, A139251, A160121, A161207, A161645, A182633, A182634, A194445.
%K A182635 nonn,more
%O A182635 0,3
%A A182635 _Omar E. Pol_, Dec 08 2010