Variable pruferEncodableArbitraryConst

A tree that can be encoded to a prüfer code has several requirements:

1. Root node value = 1.
2. For each number in the inclusive range 2…nodeCount there exists a single non-root node with that value.
3. If you want round-trip encode/decode, make sure the branches are sorted. These six trees, for example, have the same prüfer code of 1, 1:

  •─┬─1  •─┬─1   •─┬─1   •─┬─1   •─┬─1   •─┬─1
    ├──2   ├──2    ├──3    ├──3    ├──4    ├──4
    ├──3   ├──4    ├──2    ├──4    ├──2    ├──3
    └──4   └──3    └──4    └──2    └──3    └──2
  ┈┈┈┈┈┈ ┈┈┈┈┈┈  ┈┈┈┈┈┈  ┈┈┈┈┈┈  ┈┈┈┈┈┈  ┈┈┈┈┈┈
    I      II     III      IV       V      VI
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