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A233777 Number of vertices in the n-th row of the toothpick structure of A233776, with a(0) = 1.

%I A233777 #11 Jan 18 2014 16:20:01
%S A233777 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 A233777 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 A233777 24,16,32,32,33,2,4,4,6,4,8,8,10,4,8,8,12
%N A233777 Number of vertices in the n-th row of the toothpick structure of A233776, with a(0) = 1.
%H A233777 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 A233777 <a href="/index/To#toothpick">Index entries for sequences related to toothpick sequences</a>
%e A233777 Illustration of initial terms:
%e A233777 ---------------------------------------------------------
%e A233777 . A001316 A006046         Diagram          a(n)  A233776
%e A233777 ---------------------------------------------------------
%e A233777 .            0
%e A233777 .                            *               1       1
%e A233777 .    1       1               |
%e A233777 .                            *               1       2
%e A233777 .    2       3              / \
%e A233777 .                          *   *             2       4
%e A233777 .    2       5             |   |
%e A233777 .                          *   *             2       6
%e A233777 .    4       9            / \ / \
%e A233777 .                        *   *   *           3       9
%e A233777 .    2      11           |       |
%e A233777 .                        *       *           2      11
%e A233777 .    4      15          / \     / \
%e A233777 .                      *   *   *   *         4      15
%e A233777 .    4      19         |   |   |   |
%e A233777 .                      *   *   *   *         4      19
%e A233777 .    8      27        / \ / \ / \ / \
%e A233777 .                    *   *   *   *   *       5      24
%e A233777 .    2      29       |               |
%e A233777 .                    *               *       2      26
%e A233777 .    4      33      / \             / \
%e A233777 .                  *   *           *   *     4      30
%e A233777 .
%e A233777 Written as an irregular triangle the sequence begins:
%e A233777 1;
%e A233777 1;
%e A233777 2;
%e A233777 2,3;
%e A233777 2,4,4,5;
%e A233777 2,4,4,6,4,8,8,9;
%e A233777 2,4,4,6,4,8,8,10,4,8,8,12,8,16,16,17;
%e A233777 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 A233777 Cf. A001316, A139251, A194271, A194441, A233775, A233776.
%K A233777 nonn,tabf
%O A233777 0,3
%A A233777 _Omar E. Pol_, Dec 25 2013