

A282470


Qtoothpick sequence with Qtoothpicks of radius 1 and 2 (see Comments for precise definition).


1



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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OFFSET

0,3


COMMENTS

For the construction of this sequence we use the same the rules of A187210 (the Qtoothpick sequence) except that for the evenindexed generations here we use Qtoothpicks 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 Qtoothpicks, so a(0) = 0.
For n >= 1, a(n) is the ratio between the total length of the lines of the structure after nth stages and the length of a single Qtoothpick of radius 1.
A187210(n) gives the total number of Qtoothpicks in the structure after nth stages.
A187211(n) gives the number of Qtoothpicks added at nth stage.
Note that since the radius of the Qtoothpicks can be two distincts numbers so we can write an infinite number of sequences from cellular automata of this kind.


LINKS



CROSSREFS

Cf. A282471 (essentially the first differences).
Cf. A187210 (Qtoothpick sequence).


KEYWORD

nonn


AUTHOR



STATUS

approved



