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A tree is a connected graph without cycles, with a finite or infinite number of vertices. There are many variants of trees, according to further constraints or decorations.
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Stern-Brocot tree and subtree
Let $a(n)$ be A007306, denominators of Farey tree fractions (i.e., the Stern-Brocot subtree in the range $[0,1]$).
Let $b(n)$ be A002487, Stern's diatomic series (or Stern-Brocot sequence): $b(0) = 0, …