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a(n) = (A160121(n) - A266533(n))/6.
2

%I #11 Jan 23 2016 16:23:45

%S 0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,4,0,0,0,1,0,0,1,4,0,1,1,5,2,4,4,13,2,

%T 0,0,1,0,1,1,4,0,1,1,5,2,4,4,13,2,1,1,5,2,5,6,16,5,4,4,15,8,13,15,38,

%U 10,0,0,1,0,1

%N a(n) = (A160121(n) - A266533(n))/6.

%C a(n) is 1/6 of the difference between the number of Y-toothpicks added at n-th stage in the structure of A160120 and the number of Y-toothpicks added at n-th stage stage in the structure of A266532 (the outward version of A160120).

%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/Ce#cell">Index entries for sequences related to cellular automata</a>

%H <a href="/index/To#toothpick">Index entries for sequences related to toothpick sequences</a>

%e Written as an irregular triangle in which the row lengths are the terms of A011782 the sequence begins:

%e 0;

%e 0;

%e 0, 0;

%e 0, 0,0,0;

%e 1, 0,0,0,1,0,1,1;

%e 4, 0,0,0,1,0,0,1,4,0,1,1,5,2,4,4;

%e 13, 2,0,0,1,0,1,1,4,0,1,1,5,2,4,4,13,2,1,1,5,2,5,6,16,5,4,4,15,8,13,15;

%e 38,10,0,0,1,0,1...

%Y Cf. A011782, A038573, A160120, A160121, A266532, A266533.

%K nonn,tabf,more

%O 1,17

%A _Omar E. Pol_, Jan 19 2016