 | ECS #95: Non-planar trees |
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1. Description
Non-planar unlabelled trees with neither unary nor binary nodes
2. Specification
This unlabelled structure is specified as S in
\displaystyle
\left\{ B={\rm Union} \left( S,Z \right) ,S={\rm Set} \left( B,3\leq {
\rm card} \right) \right\}
other formats
3. Coefficients
3.1. First terms
4. Ordinary generating function
\displaystyle
[B \left( x \right) =S \left( x \right) +x,S \left( x \right) ={{\rm e}
^{\sum _{j_{{1}}=1}^{\infty }{\frac {B \left( {x}^{j_{{1}}} \right) }{j
_{{1}}}}}}-1-B \left( x \right) -1/2\,B \left( {x}^{2} \right) -1/2\,
\left( B \left( x \right) \right) ^{2},Z \left( x \right) =x]
other formats
5. References
6. Random structure
Search a combinatorial structure by: (firstTerms should be a sequence of integers, separated by commas).