%I #18 Feb 04 2019 14:03:00

%S 1,2,4,6,8,6,6,10,16,20,12,10,16,20,32,24,22,34,36,40,16,14,20,24,40,

%T 32,32,44,48,64,48,42,58,70,104,74,60,78,78,80,24,14,20,24,40,36,40,

%U 50,52,72

%N Number of toothpicks added at n-th stage to the structure of the cellular automaton of A299478.

%C The "word" of this cellular automaton is abcbc.

%C The associated sound to the animation of this cellular automaton could be [tick, tock, tack, tock, tack], [tick, tock, tack, tock, tack], and so on.

%C For more information about the "word" of a cellular automaton see A296612.

%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 The structure of this irregular triangle is shown below:

%e a, b, c, b, c;

%e a, b, c, b, c;

%e a, b, c, b, c, a, b, c, b, c;

%e a, b, c, b, c, a, b, c, b, c, a, b, c, b, c, a, b, c, b, c;

%e ...

%e So, written as an irregular triangle in which the row lengths are the terms of A011782 multiplied by 5, the sequence begins:

%e 1, 2, 4, 6, 8;

%e 6, 6, 10, 16, 20;

%e 12, 10, 16, 20, 32, 24, 22, 34, 36, 40;

%e 16, 14, 20, 24, 40, 32, 32, 44, 48, 64, 48, 42, 58, 70, 104, 74, 60, 78, 78, 80;

%e 24, 14, 20, 24, 40, 36, 40, 50, 52, 72, ...

%Y Cf. A299478.

%Y Cf. A160121 (word "a"), A139251 (word "ab"), A296511 (word "abc"), A299477 (word "abcb").

%K nonn,tabf,more

%O 1,2

%A _Omar E. Pol_, Feb 11 2018