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

%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