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What is the name and the properties of this tree-like graph? What is the number of the paths (all going only down) from the first node (green) to any other node? For example, there are 7 paths from the green to the red node on the picture.

enter image description here

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    $\begingroup$ OEIS A027907 gives path counts if always going down. $\endgroup$ Oct 20 '16 at 12:56
  • $\begingroup$ Thanks! The trinomial triangle is the answer to my question. $\endgroup$
    – Andreas K.
    Oct 20 '16 at 13:46
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Apparently the answer was that it's the trinomial triangle.

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