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A T-toothpick is as a toothpick but with three endpoints, as a T.
On the infinite square grid a T-toothpick can be represented as a square polyedge with three components from a central point: two consecutive components on the same straight-line and a centered orthogonal component.
We start at round 0 with no T-toothpicks.
At round 1 we place a T-toothpick anywhere in the plane.
At round 2 we place three other T-toothpicks.
And so on...
The sequence gives the number of T-toothpicks after n rounds. A160173 (the first differences) gives the number added at the n-th round.
If the T-Tootpcik has three components then at the n-th round the sieve is a polyedge with 3*a(n) components.
See the entry A139250 for more information about the toothpick process and the toothpick propagation.
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