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%I #11 Jan 18 2014 16:20:01
%S 1,1,2,2,3,2,4,4,5,2,4,4,6,4,8,8,9,2,4,4,6,4,8,8,10,4,8,8,12,8,16,16,
%T 17,2,4,4,6,4,8,8,10,4,8,8,12,8,16,16,18,4,8,8,12,8,16,16,20,8,16,16,
%U 24,16,32,32,33,2,4,4,6,4,8,8,10,4,8,8,12
%N Number of vertices in the n-th row of the toothpick structure of A233776, with a(0) = 1.
%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>
%H <a href="/index/To#toothpick">Index entries for sequences related to toothpick sequences</a>
%e Illustration of initial terms:
%e ---------------------------------------------------------
%e . A001316 A006046 Diagram a(n) A233776
%e ---------------------------------------------------------
%e . 0
%e . * 1 1
%e . 1 1 |
%e . * 1 2
%e . 2 3 / \
%e . * * 2 4
%e . 2 5 | |
%e . * * 2 6
%e . 4 9 / \ / \
%e . * * * 3 9
%e . 2 11 | |
%e . * * 2 11
%e . 4 15 / \ / \
%e . * * * * 4 15
%e . 4 19 | | | |
%e . * * * * 4 19
%e . 8 27 / \ / \ / \ / \
%e . * * * * * 5 24
%e . 2 29 | |
%e . * * 2 26
%e . 4 33 / \ / \
%e . * * * * 4 30
%e .
%e Written as an irregular triangle the sequence begins:
%e 1;
%e 1;
%e 2;
%e 2,3;
%e 2,4,4,5;
%e 2,4,4,6,4,8,8,9;
%e 2,4,4,6,4,8,8,10,4,8,8,12,8,16,16,17;
%e 2,4,4,6,4,8,8,10,4,8,8,12,8,16,16,18,4,8,8,12,8,16,16,20,8,16,16,24,16,32,32,33;
%Y Cf. A001316, A139251, A194271, A194441, A233775, A233776.
%K nonn,tabf
%O 0,3
%A _Omar E. Pol_, Dec 25 2013
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