 | ECS #144 |
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1. Description
No description available
2. Specification
This unlabelled structure is specified as S in
\displaystyle
\left\{ B={\rm Prod} \left( E,Z \right) ,C={\rm Cycle} \left( B
\right) ,E={\rm Set} \left( B \right) ,S={\rm Set} \left( C \right)
\right\}
other formats
3. Coefficients
3.1. First terms
4. Ordinary generating function
\displaystyle
[B \left( x \right) =E \left( x \right) x,C \left( x \right) =\sum _{j_
{{1}}=1}^{\infty }{\frac {{\rm phi} \left( j_{{1}} \right) \ln \left(
\left( 1-B \left( {x}^{j_{{1}}} \right) \right) ^{-1} \right) }{j_{{1
}}}},E \left( x \right) ={{\rm e}^{\sum _{j_{{2}}=1}^{\infty }{\frac {B
\left( {x}^{j_{{2}}} \right) }{j_{{2}}}}}},S \left( x \right) ={
{\rm e}^{\sum _{j_{{3}}=1}^{\infty }{\frac {C \left( {x}^{j_{{3}}}
\right) }{j_{{3}}}}}},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).