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An E-Toothpick is formed by three half toothpicks, as a trident.
On the infinite triangular grid, we start at round 0 with no E-Toothpicks.
At round 1 we place an E-Toothpick anywhere in the plane.
At round 2 we place three other E-Toothpicks.
At round 3 we place five other E-Toothpicks.
And so on...
A special rule is ... (Needs definition)
The sequence gives the number of E-Toothpicks after n rounds. A161329 (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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