| This sequence is a E-Toothpick sequence (A161328) but starting from opposite two E-Toothpicks.
On the infinite triangular grid, we start at round 0 with no E-Toothpicks.
At round 1 we place opposite two E-Toothpicks, as a star with six endpoints, anywhere in the plane.
At round 2 we place six other E-Toothpicks.
At round 3 we place six other E-Toothpicks.
And so on...
See the special rule for E-Toothpick sequences in the entry A161328.
The sequence gives the number of E-Toothpicks after n rounds. A161331 (the first differences) gives the number added at the n-th round.
See the entry A139250 for more information about the toothpick process and the toothpick propagation.
Note that, on the infinite triangular grid, a E-Toothpick can be represented as a polyedge with three components. In this case, at n-th round, the sieve is a polyedge with 3*a(n) components.
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