 | ECS #62: Trees |
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1. Description
Unlabelled trees of height 3
2. Specification
This unlabelled structure is specified as S in
\displaystyle
\left\{ S={\rm Prod} \left( Z,{\rm Set} \left( {\rm T1} \right)
\right) ,{\rm T1}={\rm Prod} \left( Z,{\rm Set} \left( {\rm T2}
\right) \right) ,{\rm T2}={\rm Prod} \left( Z,{\rm Set} \left( {\rm
T3} \right) \right) ,{\rm T3}=Z \right\}
other formats
3. Coefficients
3.1. First terms
4. Ordinary generating function
\displaystyle
x{{\rm e}^{\sum _{j_{{1}}=1}^{\infty } \left( {x}^{j_{{1}}}{{\rm e}^{
\sum _{j_{{2}}=1}^{\infty } \left( \left( {x}^{j_{{1}}} \right) ^{j_{{
2}}}{{\rm e}^{\sum _{j_{{3}}=1}^{\infty }{\frac { \left( \left( {x}^{j
_{{1}}} \right) ^{j_{{2}}} \right) ^{j_{{3}}}}{j_{{3}}}}}}{j_{{2}}}^{-1
} \right) }}{j_{{1}}}^{-1} \right) }}
other formats
5. References
6. Random structure
Search a combinatorial structure by: (firstTerms should be a sequence of integers, separated by commas).