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A182839
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Number of toothpicks and D-toothpicks added at n-th stage to the H-toothpick structure of A182838.
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4
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0, 1, 2, 4, 4, 4, 6, 10, 8, 4, 6, 12, 16, 14, 14, 22, 16, 4, 6, 12, 16, 16, 20, 32, 36, 22, 14, 28, 42, 40, 36, 50, 32, 4, 6, 12, 16, 16, 20, 32, 36, 24
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OFFSET
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0,3
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COMMENTS
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The "word" of this cellular automaton is "ab".
Apart from the initial zero the structure of the irregular triangle is as shown below:
a,b;
a,b;
a,b,a,b;
a,b,a,b,a,b,a,b;
a,b,a,b,a,b,a,b,a,b,a,b,a,b,a,b;
...
Columns "a" contain numbers of toothpicks and D-toothpicks when in the top border of the structure there are only toothpicks (of length 1).
Columns "b" contain numbers of toothpicks and D-toothpicks when in the top border of the structure there are only D-toothpicks (of length sqrt(2)).
An associated sound to the animation could be (tick, tock), (tick, tock), ..., the same as the ticking clock sound.
Row lengths are the terms of A011782 multiplied by 2, also the column 2 of A296612.
For further information about the word of cellular automata see A296612.
It appears that the right border of the irregular triangle gives the even powers of 2. (End)
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LINKS
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FORMULA
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EXAMPLE
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The nonzero terms can write as an irregular triangle as shown below:
1, 2;
4, 4;
4, 6, 10, 8;
4, 6, 12, 16, 14, 14, 22, 16;
4, 6, 12, 16, 16, 20, 32, 36, 22, 14, 28, 42, 40, 36, 50, 32;
...
(End)
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CROSSREFS
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KEYWORD
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nonn,tabf,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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