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A327331 Number of elements added at n-th stage to the toothpick structure of A327330. 4

%I #26 Dec 03 2019 07:16:06

%S 1,2,4,4,4,8,10,8,4,8,10,12,14,22,22,16,4,8,10,12,14,22,22,20,14,24,

%T 28,34,42,60,48,36,4,8,10,12,14,22,22,20,14,24,28,34,42,60,48,40,18,

%U 28,34,46,50,58,50,48,40,68,76,84,108,156,100,76,4,8,10,12,14,22,22,20,14,24,28,34,42,60,48,40

%N Number of elements added at n-th stage to the toothpick structure of A327330.

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

%C The structure of the irregular triangle is as shown below:

%C a,b;

%C a,b;

%C a,b,a,b;

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

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

%C ...

%C Row lengths are the terms of A011782 multiplied by 2, also the column 2 of A296612.

%C Columns "a" contain numbers of I-toothpicks.

%C Columns "b" contain numbers of V-toothpicks.

%C For further information about the word of cellular automata see A296612.

%e Triangle begins:

%e 1,2;

%e 4,4;

%e 4,8,10,8;

%e 4,8,10,12,14,22,22,16;

%e 4,8,10,12,14,22,22,20,14,24,28,34,42,60,48,36;

%e 4,8,10,12,14,22,22,20,14,24,28,34,42,60,48,40,18,28,34,46,50,58,50,48,40,68,...

%Y First differences of A327330.

%Y Column 1 gives A123932.

%Y First differs from A231348 at a(11).

%Y Cf. A011782, A139250, A139251, A160120, A160121, A161206, A161207, A296612, A323641, A323642, A323649, A327333 (similar triangle).

%Y For other hybrid cellular automata, see A194271, A194701, A220501, A289841, A290221, A294021, A294963, A294981, A299771, A323647, A323651.

%K nonn,tabf

%O 1,2

%A _Omar E. Pol_, Sep 01 2019

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