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A282470
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Q-toothpick sequence with Q-toothpicks of radius 1 and 2 (see Comments for precise definition).
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1
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0, 1, 9, 16, 40, 62, 102, 124, 204, 258, 338, 360, 440, 494, 606, 676, 916, 1050, 1194, 1216, 1296, 1350, 1462, 1532, 1772, 1906, 2082, 2152, 2392, 2542, 2878, 3124, 3844, 4170, 4442, 4464, 4544, 4598, 4710, 4780, 5020, 5154, 5330, 5400, 5640, 5790, 6126, 6372, 7092, 7418, 7722, 7792, 8032, 8182, 8518
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listen;
history;
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OFFSET
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0,3
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COMMENTS
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For the construction of this sequence we use the same the rules of A187210 (the Q-toothpick sequence) except that for the even-indexed generations here we use Q-toothpicks of radius 2, not 1.
The result is that the structure looks like an arrangement of ovals.
On the infinite square grid at stage 0 we start with no Q-toothpicks, so a(0) = 0.
For n >= 1, a(n) is the ratio between the total length of the lines of the structure after n-th stages and the length of a single Q-toothpick of radius 1.
A187210(n) gives the total number of Q-toothpicks in the structure after n-th stages.
A187211(n) gives the number of Q-toothpicks added at n-th stage.
Note that since the radius of the Q-toothpicks can be two distincts numbers so we can write an infinite number of sequences from cellular automata of this kind.
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LINKS
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CROSSREFS
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Cf. A282471 (essentially the first differences).
Cf. A187210 (Q-toothpick sequence).
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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