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Number of toothpicks added at n-th stage to the toothpick structure of A296610.
2

%I #20 Apr 11 2019 22:47:44

%S 1,1,1,1,1,2,3,3,2,3,3,4,6,5,2,3,3,4,6,7,6,8,5,8,12,10,3,3,3,4,6,7,6,

%T 8,7,10,16,16,11,10,5,8,12,16,15,19,11,19,26,21,6,3,3,4,6,7,6,8,7,10,

%U 16,16,11,10,7,10,16,20,21,26,20,25,34,36,24,16,6,8,12,16,15,19,17,25

%N Number of toothpicks added at n-th stage to the toothpick structure of A296610.

%C The word of this cellular automaton is "abc", the same as the word of A296511, but here the irregular triangle starts with three rows of length 3 as shown below:

%C a,b,c;

%C a,b,c;

%C a,b,c;

%C a,b,c,a,b,c;

%C a,b,c,a,b,c,a,b,c,a,b,c;

%C a,b,c,a,b,c,a,b,c,a,b,c,a,b,c,a,b,c,a,b,c,a,b,c;

%C ...

%C Row lengths are 3, 3, 3, 6, 12, 24, 48, 96, ... or in other words: 3 together with the column 3 of A296612.

%C See also the example.

%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 Triangle begins:

%e 1,1,1;

%e 1,1,2;

%e 3,3,2;

%e 3,3,4,6,5,2;

%e 3,3,4,6,7,6,8,5, 8,12,10, 3;

%e 3,3,4,6,7,6,8,7,10,16,16,11,10,5, 8,12,16,15,19,11,19,26,21, 6;

%e 3,3,4,6,7,6,8,7,10,16,16,11,10,7,10,16,20,21,26,20,25,34,36,24,16,6,8,12,16, ...

%e ...

%Y Cf. A139251, A296511, A296610, A296612.

%K nonn,tabf

%O 1,6

%A _Omar E. Pol_, Mar 02 2019