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A323647 Number of elements added at n-th stage to the toothpick structure of A323646.

%I A323647 #33 Dec 07 2019 00:45:40
%S A323647 1,2,2,4,6,6,6,12,14,12,6,12,14,16,18,32,34,20,6,12,14,16,18,32,34,24,
%T A323647 18,32,38,44,62,92,82,36,6,12,14,16,18,32,34,24,18,32,38,44,62,92,82,
%U A323647 40,18,32,38,44,62,92,86,60,62,96,114,144,210,260,194,68,6,12,14,16,18,32,34,24,18,32,38,44,62,92
%N A323647 Number of elements added at n-th stage to the toothpick structure of A323646.
%C A323647 The "word" of this cellular automaton is "ab", but note that this triangle has an unusual structure: an additional row of length 2. For more information about the word of cellular automata see A296612.
%C A323647 The structure of the irregular triangle is as shown below:
%C A323647 a,b;
%C A323647 a,b;
%C A323647 a,b;
%C A323647 a,b,a,b;
%C A323647 a,b,a,b,a,b,a,b;
%C A323647 a,b,a,b,a,b,a,b,a,b,a,b,a,b,a,b;
%C A323647 ...
%C A323647 Row lengths give 2 together with the terms of A011782 multiplied by 2, also 2 togheter with the column 2 of A296612.
%C A323647 Columns "a" contain numbers of toothpicks of length 2.
%C A323647 Columns "b" contain numbers of D-toothpicks of length 2*sqrt(2). See the example.
%H A323647 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 A323647 <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
%H A323647 <a href="/index/To#toothpick">Index entries for sequences related to toothpick sequences</a>
%e A323647 Triangle begins:
%e A323647 1, 2;
%e A323647 2, 4;
%e A323647 6, 6;
%e A323647 6,12,14,12;
%e A323647 6,12,14,16,18,32,34,20;
%e A323647 6,12,14,16,18,32,34,24,18,32,38,44,62,92,82,36;
%e A323647 6,12,14,16,18,32,34,24,18,32,38,44,62,92,82,40,18,32,38,44,62,92,86,60,62,96, ...
%Y A323647 First differences of A323646.
%Y A323647 Also, 1 together with A160731.
%Y A323647 Column 1 gives A134201.
%Y A323647 Cf. A011782, A139251, A296612.
%Y A323647 For other hybrid cellular automata, see A194271, A194701, A220501, A289841, A290221, A294021, A294963, A294981, A299771, A323651, A327331, A327333.
%K A323647 nonn,tabf
%O A323647 1,2
%A A323647 _Omar E. Pol_, Mar 07 2019